This was CNBC's live blog tracking developments in the Israel-Hamas war. Click here for the latest Israel news and updates on Gaza.

Some humanitarian aid started coming through the Rafah crossing in Egypt on Tuesday, Reuters reported, citing the Palestinian Red Crescent. Some eight trucks arrived in Gaza late in the day carrying water, food and medicine, Reuters noted.

Hospitals in Gaza have been warning that they would have to shut down if they don't receive more fuel. Other supplies, such as water, medicine and food continue to run low.

U.S. President Joe Biden told NBC News earlier Tuesday that humanitarian aid has not been arriving quickly enough.

Meanwhile, 85-year-old Yocheved Lifshitz, one of two Israeli hostages released by Hamas on Monday, spoke out about her abduction during the Oct. 7 multi-pronged terror attacks carried out by the Palestinian group.

"I went through hell," she said of the experience of being taken hostage in a Tuesday press briefing. Hamas released her and one other elderly hostage late Monday, bringing the total to four.

Israeli President Isaac Herzog said that Israel does not want a war with militant group Hezbollah, but Lebanon will "pay the price" if the two countries come into conflict.

"I think Hezbollah is playing with fire ... And I want to make clear, we are not looking for a confrontation in our northern border with anyone else, we are focused on destroying Hamas infrastructure and bringing our citizens back home, but if Hezbollah will drag us into war, it should be clear that Lebanon will pay the price," Herzog said at a press briefing with visiting French President Emmanuel Macron.

His words come after recent hostilities between Lebanese militant group Hezbollah and the Israeli armed forces in northern Israel which has signaled that the conflict in Gaza could spread regionally.

Correction: As of midday Tuesday, no aid trucks had come through the Rafah crossing in Egypt. The day of the week was misstated in an earlier version of this live blog.

U.S. intel: Gaza hospital blast caused by Palestinian rocket that broke apart due to engine failure

Intelligence officials told reporters that U.S. spy agencies believe the blast at a Gaza hospital that killed hundreds a week ago was caused by a Palestinian rocket that suffered engine failure and broke apart into two pieces, NBC News reported.

"We assess with high confidence that Israel was not responsible for the explosion at the hospital and that Palestinian militants were responsible," an intelligence official said. "We assess with low confidence that Palestine Islamic Jihad was responsible for launching the rocket that landed on the hospital."

Read the full NBC News story here.

— Riya Bhattacharjee

GOP lawmakers push to rename 'Black Lives Matter Plaza' in D.C., saying the group praised Hamas terrorism

A group of more than two dozen Republican lawmakers urged the mayor of Washington, D.C., to rename "Black Lives Matter Plaza," claiming that the group for which the plaza is named has voiced support for Hamas following the Oct. 7 terrorist attacks in Israel.

The lawmakers, including Sens. Lindsey Graham of South Carolina and Florida's Marco Rubio, also argued that the street painting reading "Black Lives Matter" should be scrubbed from the plaza due the group's "celebration of violent antisemitic terrorism."

The plaza, a two-block-long pedestrian zone just north of the White House, got its name in 2020 amid the rapid rise of Black Lives Matter, the political movement that emerged in response to the killings of Black Americans.

In a letter to D.C. Mayor Muriel Bowser, the group of eight senators and 17 House members cited a handful of posts from BLM chapters and entities that expressed support for Palestine, criticized Israel or "cast doubt" on the Oct. 7 attacks.

"These posts are meant to delegitimize Israel and rationalize brutal attacks on the Jewish people," the letter read. "It is hard to escape the conclusion that these statements are motivated by an ugly animus against the Jewish people."

"America must clearly affirm its stance against antisemitism, wherever it appears. We therefore urge you to immediately rename the Black Lives Matter Plaza, to remove the associated street painting in the plaza, and to end the city's celebration of this terrorist sympathizer group."

BLM and Bowser's office did not immediately respond to CNBC's request for comment on the letter.

— Kevin Breuninger

Scene in Khan Younis, in the southern Gaza Strip

Crowds of people gather to assess residential damage in the southern Gaza Strip after an Israeli strike on Tuesday. Israel has been launching hundreds of airstrikes daily while demanding that Hamas release its remaining 222 hostages.

Correction: The Reuters photo above was taken on Tuesday, Oct. 24. The day of the week was misstated in an earlier version.

— Elisabeth Cordova

Columbia University postpones fundraising event as campus tensions rise over Israel-Hamas conflict

Columbia University postponed a major annual fundraising event this week as the campus grapples with fallout triggered by the ongoing Israel and Hamas conflict.

"After careful consideration and consultation with University and alumni leadership, we decided that this is not the appropriate time to move forward with Columbia Giving Day. It is postponed for the time being, and a decision on rescheduling will be made in the near future," said Samantha Slater, a university spokeswoman, in a statement.

Last year, Columbia Giving Day raised almost $30 million in about 24 hours, according to The New York Times.

— Amanda Macias

Blinken calls on UN members to commit additional humanitarian assistance to Gaza

Secretary of State Antony Blinken called on the United Nations Security Council to commit more money for humanitarian assistance to Gaza.

"The United States has committed an additional $100 million in humanitarian assistance to Palestinians in Gaza and the West Bank, bringing the total aid that we provided to the Palestinian people over the past two and a half years to more than $1.6 billion," Blinken said before the international forum.

Blinken said the U.S. is the "largest single-country donor by far to the Palestinian people." 

"We call on all countries, particularly those with the greatest capacity to give, to join us in meeting the UN's appeal for the humanitarian situation in Gaza," he added.

— Amanda Macias

'Iran is certainly complicit here,' White House says as Israel-Hamas conflict rages

The White House blamed Iran for the ongoing crisis in Gaza and the conflict between Israel and Hamas.

"Iran is certainly complicit here. Without them there is no Hamas; without them, there's no Hezbollah; without them, there are no militia groups, firing rockets at our troops in Iraq and Syria," National Security Council John Kirby told reporters during a daily press briefing.

"We recognize Iran is monitoring all these events and, in some cases, they're encouraging some of these attacks no question about it," Kirby added.

The Biden administration has previously said it is watching an uptick in attacks on U.S. servicemembers throughout the Middle East.

— Amanda Macias

White House says no trucks carrying humanitarian aid to Gaza arrived today

The White House confirmed that no convoy trucks carrying humanitarian aid have arrived through the Rafah crossing today.

"We will see what the hours will bring," National Security Council spokesman John Kirby told reporters during a daily briefing.

Earlier in the day, President Joe Biden told NBC News that the critical humanitarian assistance was not moving fast enough.

— Amanda Macias

Blinken to meet with Arab foreign ministers and representatives at the UN

U.S. Secretary of State Antony Blinken will meet with his counterparts and representatives from Algeria, Egypt, Jordan, Libya, Saudi Arabia, the United Arab Emirates, the Palestinian Authority and the League of Arab States while at the United Nations.

Blinken traveled to New York to attend the U.N. Security Council meeting on the ongoing situation in Gaza.

— Amanda Macias

10 Americans still unaccounted for since start of Israel-Hamas conflict, White House says

The White House said that there are still 10 unaccounted-for U.S. citizens since the war between Israel and Hamas began on Oct. 7.

National Security Council spokesman John Kirby said that so far there have been 33 American deaths from the conflict.

— Amanda Macias

Biden acknowledges that humanitarian aid is not getting into Gaza fast enough

President Joe Biden acknowledged that aid to Gaza is not happening fast enough as humanitarian partners work to move critical supplies through the Rafah border crossing.

When asked by NBC News at the White House if "humanitarian aid is getting into Gaza fast enough?" Biden replied, "not fast enough."

— Amanda Macias

Israeli foreign minister calls on Qatar to broker the 'immediate and unconditional' release of hostages

Israeli Foreign Minister Eli Cohen called on all members of the UN Security Council to immediately demand Qatar usher in the "immediate and unconditional release" of all hostages held by Hamas.

"Qatar which finances and harbors Hamas leaders could influence and enable the immediate and unconditional release of all of all hostages held by the terrorists," Cohen said before the international forum during a meeting on the situation in Gaza.

"You members of the international community should demand Qatar to do just that. The meeting should conclude with a clear message, bring them home. Bring them home," he added.

— Amanda Macias

Google disables live traffic conditions on Maps and Waze in Israel and Gaza

Google is disabling live traffic conditions in Israel and Gaza on its Maps and Waze apps, a spokesperson said Tuesday. The move comes as Israel is widely anticipated to embark on a ground invasion into Gaza.

"As we have done previously in conflict situations and in response to the evolving situation in the region, we have temporarily disabled the ability to see live traffic conditions and busyness information out of consideration for the safety of local communities," a Google spokesperson said in a statement.

People traveling to a specific place will still get routes that take traffic conditions into account.

The Israel Defense Forces did not immediately respond to comment about whether it requested the restriction.

Read this story for more.

— Melina Khan

IDF chief says Gaza ground offensive delayed by tactical and strategic considerations

The Israel Defense Forces' chief of staff Herzi Halevi said Tuesday that its ground offensive into Gaza was being delayed by "tactical" and "strategic considerations," according to local media reports.

Speaking to reporters at a press conference near the Gaza border, Halevi said that the IDF was poised to launch its highly-anticipated incursion, but noted that the time and shape of such an offensive was yet to be determined.

"We've prepared for this. The IDF and the Southern Command have prepared quality offensive plans to achieve the goals of the war," he said.

"The IDF is ready for the [ground] maneuver, and we will make a decision with the political echelon regarding the shape and timing of the next stage," Halevi says.

Israel has come under increasing pressure from the international community to temper its response to Hamas's Oct. 7 attacks as the humanitarian impact of the crisis escalates.

— Karen Gilchrist

Hamas official calls for halt to war on Gaza

Hamas on Tuesday called for a halt to the war on Gaza and pushed for the opening of humanitarian aid crossings, Reuters reported.

Speaking in a press conference in Beirut, Lebanon, Hamas senior official Osama Hamdan urged Arab and Islamic countries and the United Nations to bring an end to Israel's attack on Gaza. Israel's continued aerial bombardment of the Gaza Strip follows an Oct. 7 assault by the Palestinian militant group.

Hamdan also called on Arab countries to end the normalization of diplomatic ties with Israel.

— Karen Gilchrist

Antony Blinken says he will 'reaffirm Israel's right to defend itself' at UN meeting

U.S. Secretary of State Antony Blinken said that he would "reaffirm Israel's right to defend itself" at a UN Security Council meeting in New York on Tuesday.

Blinken, who has played a key role in diplomatic talks since the onset of the Israel-Hamas war, added in a post on social media that he would also discuss plans to stop the conflict from spreading as well as increasing humanitarian support for Gaza.

— Karen Gilchrist

Emirati businessman says likelihood of regional escalation appears low

Emirati billionaire businessman Hussain Sajwani said Tuesday that the chances of the Hamas-Israeli war escalating into a regional conflict currently appear low, but even that low probability is of concern to the region.

Sajwani, chairman of Dubai-based investment firm DAMAC Group, told CNBC that he believes the likelihood of a wider outbreak in the conflict currently stands around 5% to 10%.

"I hope this doesn't get out of control, doesn't become a regional war," he said.

Sajwani, whose business interests include a vast property portfolio, added that he did not think the Dubai market would be significantly disrupted by the ongoing unrest.

"I don't see the challenge for Dubai, I don't see the challenge for the GCC [Gulf Cooperation Council]. I think hopefully it will get confined within an area, and I pray it gets over soon," he added.

— Karen Gilchrist

IDF makes public appeal to Gazans to provide hostage information

The Israel Defense Forces have made a public appeal to the the people of Gaza to provide information about the location of the more than 200 hostages held by Hamas.

In a post on social media, IDF spokesperson Daniel Hagari urged residents of the besieged enclave to provide information on abductees. He added that a monetary and security would be provided in return.

"If you want a better future for you and your child, take action and give us as soon as possible solid and useful information regarding the abductees in your area. The Israeli army assures you that it will put forth maximum effort to provide you with security and your home, as well as a monetary reward. We guarantee you complete confidentiality."

Reuters reported on Tuesday that IDF was also delivering leaflets across Gaza with similar pleas.

Hamas released two elderly hostages late Monday, taking the total number of captives freed to four.

— Karen Gilchrist

France's Macron proposes anti-IS coalition fights Hamas

French President Emmanuel Macron proposed expanding an existing coalition that fights IS to also combat Palestinian militant group Hamas.

"This is why France is ready for the international coalition against Daesh, in which we are engaged for our operation in Iraq and Syria, to also fight against Hamas," he said during a press briefing alongside Israeli Prime Minister Benjamin Netanyahu, according to a CNBC translation.

Macron arrived in Israel earlier in the day and has also met with Israeli President Isaac Herzog.

He references the 86-member Global Coalition to Defeat Daesh, established in September 2014 to dismantle IS and its financing and military infrastructure.

"Hamas is a terrorist group, where the very objective is the destruction of the Israeli state," Macron said Tuesday.

"I propose to our international partners, I mentioned it to you this morning, that we can build a regional and international coalition to fight against the terrorist group that threatens all of us."

Macron reiterated that the battle against Hamas must be fought "without mercy, but not without rules," urging no civilian deaths and respect for international laws governing warfare.

— Ruxandra Iordache

'I went through hell': Hostage released by Hamas speaks on the abduction

Eighty-five-year-old Yocheved Lifshitz, one of two Israeli hostages released by Hamas on Monday, has spoken out about her abduction during the Oct. 7 multi-pronged terror attacks carried out by the Palestinian group.

In a press briefing, she said she was taken captive on a motorbike, beaten with sticks and taken to a network of tunnels like "spiderwebs," according to a NBC News translation.

"I went through hell," she said.

She added that captives were treated "well" and looked after at the site where they were held, as well as supplied with medical treatment and medication.

Lifshitz's daughter said her father remains a hostage of Hamas and called for his release.

The Israel Defense Forces estimate roughly 222 people were taken captive during the Hamas offensive. Only four people, including Lifshitz, have been released to date.

— Ruxandra Iordache

UN relief agency says it is unable to offer aid after Wednesday without fuel

The United Nations Agency for Palestine Refugees (UNRWA) will be unable to carry out aid operations after Wednesday night without fuel deliveries to the Gaza Strip, Director Thomas White said.

"The key message is: we need fuel to come into Gaza otherwise the aid operation, clean drinking water, hospitals operating — will come to a close on Wednesday night," White said in a TV interview with Al Jazeera.

"We're providing fuel now to run desalination plants for drinking water. It's keeping [Intensive Care] units operating in hospitals, it's enabling us to distribute aid. The reality is even if a convoy comes into Gaza, if we don't have fuel for our trucks, we won't be able to pick it up," he added, noting that no fuel has crossed the border into the Gaza Strip, despite the trickle of humanitarian aid deliveries traversing the Rafah Crossing from Egypt since the weekend.

UNRWA, which has been sheltering and distributing aid to Palestinian people in the besieged Gaza Strip, on Monday said 35 of its staff members have been killed since the start of the Israeli-Hamas conflict.

— Ruxandra Iordache

Israel does not want war with Hezbollah, Israeli president says

Israel does not want a war with militant group Hezbollah, but Lebanon will "pay the price" if the two countries are pitted into such an altercation, Israeli President Isaac Herzog said.

Speaking at a press briefing with visiting French President Emmanuel Macron, Herzog said, "We are following very closely the situation with Lebanon. I think Hezbollah is playing with fire ... And I want to make clear, we are not looking for a confrontation in our northern border with anyone else, we are focused on destroying Hamas infrastructure and bringing our citizens back home, but if Hezbollah will drag us into war, it should be clear that Lebanon will pay the price."

Israel has been trading fire with Hezbollah since the Oct. 7 terror attacks perpetrated by Palestinian militant group Hamas. Hezbollah cites solidarity with the Palestinian people and retaliation for Israel killing several of the group's members. As a result of the hostilities, Israel has had to evacuate several settlements near the border with Lebanon, raising concerns over the possibility of its conflict with Hamas spreading out into the broader Middle Eastern region.

Both Hamas and Hezbollah have historically benefitted from the support of Iran, who praised the early-October Hamas offensive, but denied involvement.

"Lebanon cannot be a sovereign member of the international community, its citizens carrying a Lebanese passport, but when it comes to attacking Israel, they are not responsible," Herzog said Tuesday.

— Ruxandra Iordache

Israeli military says it struck over 400 Hamas targets in extensive 24-hour operation

The Israel Defense Force said it carried out a large-scale operation that struck over 400 targets of Palestinian militant group Hamas in the past 24 hours, according to a social media update.

The targets included Hamas gunmen setting up rocket fire, an operational tunnel shaft allowing infiltration of Israel through the sea, command centers and staging armament, according to the IDF.

CNBC could not independently verify developments on the ground.

The IDF is conducting an extensive campaign to dismantle Hamas military capabilities in the Gaza Strip, following the group's multi-pronged terrorist attack of Oct. 7.

— Ruxandra Iordache

France's Macron reiterates solidarity with Israel amid visit

Thirty French nationals were killed in the Hamas terror attacks of Oct. 7, with nine others still missing or held hostage by the Palestinian militant group, French President Emmanuel Macron said on social media, amid a visit to Israel.

"We are bound to Israel through grief," he said, according to a CNBC translation. "In Tel Aviv, alongside their families, I expressed the solidarity of the nation."

Macron landed in Tel Aviv on Tuesday, Reuters reported, and is expected to meet with Israeli Prime Minister Benjamin Netanyahu and President Isaac Herzog over the course of the day.

A spate of high-profile Western politicians have journeyed to Israel to show solidarity since last week, including U.S. President Joe Biden.

— Ruxandra Iordache

The Bank of Israel should and will 'place a lot of weight' on stabilizing the market: Former governor

Karnit Flug, former Bank of Israel governor and vice president of research at the Israel Democracy Institute, discusses what the central bank should do in the wake of the Israel-Hamas war.

China urges Israel to abide by international humanitarian law in its self defense

China urged Israel to abide by international humanitarian law and to protect the safety of civilians in its war with the Hamas militant group, calling for peace talks between Israelis and Palestinians in "major choices between war and peace."

"Every country has the right to self-defense, but every country should abide by international humanitarian law and protect the safety of civilians," China Foreign Minister Wang Yi was reported to have told his Israeli counterpart Eli Cohen in a call on Monday.

Read this story for more.

— Clement Tan

Obama warns that ignoring human cost in war could 'ultimately backfire'

Former U.S. President Barack Obama has called for restraint in the Israel-Hamas war.

"The world is watching closely as events in the region unfold, and any Israeli military strategy that ignores the human costs could ultimately backfire," Obama warned in a blog post.

He emphasized his support for the Jewish state and its right to protect its citizens, saying: "I fully support President Biden's call for the United States to support our long-time ally in going after Hamas."

"But even as we support Israel, we should also be clear that how Israel prosecutes this fight against Hamas matters," Obama said, highlighting that Israel must abide by international rules, "including those laws that seek to avoid, to every extent possible, the death or suffering of civilian populations."

"This is an enormously difficult task. War is always tragic, and even the most carefully planned military operations often put civilians at risk," he acknowledged.

"The Israeli government's decision to cut off food, water and electricity to a captive civilian population threatens not only to worsen a growing humanitarian crisis; it could further harden Palestinian attitudes for generations, erode global support for Israel, play into the hands of Israel's enemies, and undermine long term efforts to achieve peace and stability in the region," he warned.

— Joanna Tan

Clean water shortages a 'major concern' in the Gaza Strip, U.N. humanitarian agency says

Clean water shortages remain a "major concern" in the Gaza Strip, as humanitarian aid supplies start to trickle into the besieged enclosure, the U.N. Office for the Coordination of Humanitarian Affairs said in its latest update.

"The shortage of clean potable water, alongside water consumption from unsafe sources, remains a major concern," OCHA said.

"On 23 October, the Rafah crossing with Egypt opened for the third consecutive day, allowing the entry of 20 trucks carrying food, water and medical supplies. This is equivalent to about four per cent of the daily average volume of commodities entering Gaza prior to the hostilities. None of the aid shipments have included desperately needed fuel to power hospitals and water facilities."

Deprived of Israeli resources, the Gaza Strip began receiving humanitarian assistance over the weekend, as U.N.-brokered truck convoys entered the territory through the Rafah crossing from Egypt.

The U.N. agency drew further alarm bells over the overcrowding of hospitals in the Gaza Strip, with the Shifa facility — the largest in the area — currently treating 5,000 patients, or over seven times more than its capacity of 700 patients.

OCHA estimates there are now 1.4 million internally displaced persons in the Gaza Strip, of whom 590,000 people are taking cover in the shelters of the United Nations Relief and Works Agency for Palestine Refugees group.

— Ruxandra Iordache

Hamas hostage release is an attempt to 'buy time,' IDF spokesperson says

The "cynical" Monday release of two Israeli hostages is a bid by Palestinian militant group Hamas to buy time and does not lay the foundation of a cease-fire, an Israeli spokesperson said overnight.

"Hamas is doing what we are anticipating they would do: very cynical, psychological warfare, trying to bide for time, buy time, by using the release, the slow drip release of some of the hostages," Israel Defense Forces spokesperson Jonathan Conricus told NBC News in a TV interview, stressing that all of the 222 hostages abducted by Hamas on Oct. 7 must be returned.

Hamas released two hostages on Monday, bringing the combined count to four. The IDF did not play a part in negotiating the captives' return, according to Conricus.

Asked whether Hamas' Monday concession paved the path to a cease-fire, the IDF spokesperson said, "I am not aware of any such discussions. The only thing I am aware of is troops ready on the ground, air force striking Hamas targets from the air, and an elevated sense of understanding within the IDF that there is a tremendous task at hand that needs to be done."

The IDF has been accruing forces at the border with the Gaza Strip enclave, in preparation for a long-anticipated ground incursion that some have begun to question whether U.S. diplomacy could deter.

"Our ground forces are ready to commence significant military operations in Gaza and to bring the fight to Hamas on their home turf, whenever we will get the directive from the war cabinet, that will commence," Conricus said, adding there is "very close coordination, both on the military and on the strategic international level between Israel and the U.S," specifically to prevent a spillover of the Israel-Hamas conflict into the broader Middle East.

— Ruxandra Iordache

Two elderly Israeli hostages arrive in Tel Aviv after their release

Two Israeli women who were kidnapped and subsequently freed by Hamas, landed in Tel Aviv, Israel early Tuesday.

An Israeli military helicopter carrying Nurit Cooper, 79, and Yocheved Lifshitz, 85, arrived on the rooftop of Ichilov hospital, according to Reuters footage.

One of them was seen in a wheelchair while the other was carried out on a stretcher.

The military wing of Hamas said in a statement on Telegram that the women were released for "compelling humanitarian" reasons. The Israel Defense Forces has previously said the militant group is "trying to present itself as a humanitarian organization to the world" by the release of hostages.

Hamas militants massacred 1,400 people, including babies, women and elderly, and kidnapped more than 200 people from Israel in their Oct. 7 rampage. Little is known about their well-being and whereabouts.

The militants have so far released four hostages.

— Joanna Tan

Third aid convoy enters Gaza, UN warns fuel about to run out

A third convoy of humanitarian aid trucks delivered water, food and medicine to the besieged Gaza Strip on Monday, but the United Nations warned that fuel was not included and reserves will run out within the next two days.

Humanitarian deliveries through the Rafah crossing from Egypt began on Saturday after wrangling over procedures for inspecting the aid and bombardments on the Gaza side of the border had left relief materials stranded in Egypt.

— Reuters

Not the time for a ceasefire in Israel-Hamas conflict, says White House's Kirby

This is not the time for a ceasefire in the conflict between Israel and Hamas militants, White House national security spokesman John Kirby told CNN on Monday.

"We don't believe that this is the time for a ceasefire," he said. "Israel has a right to defend themselves. They still have work to do to go after Hamas leadership."

— Reuters

Israel says the two hostages released by Hamas will receive medical treatment and see family shortly

A spokesperson for Israeli Prime Minister Benjamin Netanyahu's office confirmed that Nurit Cooper, 79, and Yochaved Lifshitz, 85, were released by Hamas after being taken hostage for a little over two weeks.

"After being handed over to the Israeli Defense Forces, they are making their way at this time to a medical center in Israel that was organized and specially prepared to receive them. Their family members will be waiting for them there," Netanyahu's office wrote in a statement.

"We thank Egypt for the assistance and the Red Cross for their important role as life savers. The Government of Israel, the IDF and the entire security establishment will continue to operate with the best of their abilities and efforts in order to locate all of the missing and return all of the abductees home," the statement added.

— Amanda Macias

CNBC’s previous coverage

Released hostages arrive in Tel Aviv; Gaza health ministry says death toll tops 5,000