Hezbollah militants in Lebanon fired more than 160 rockets toward Israel in about 2 hours on Wednesday, the most intense barrage since the beginning of the Israel-Hamas war, Israeli officials said.

Many of the projectiles launched into northern Israel were intercepted, the Israel Defense Forces told ABC News. Others fell in open areas, including a number of locations in northern Israel, officials said.

The barrage was in response to an Israeli strike in Lebanon on Tuesday night that killed a top Hezbollah commander, the militants said, adding that it was also "in support of our steadfast Palestinian people in the Gaza Strip."

No injuries or damage were reported, the IDF said.

-ABC News' Joe Simonetti and Kevin Shalvey

Israeli troops shot and killed six Palestinians during a raid on a small village near the city of Jenin in the occupied West Bank on Tuesday amid escalating violence there, according to the Hamas-run Palestinian Ministry of Health.

The Israel Defense Forces said its soldiers killed "four armed terrorists" and injured "additional ones" amid "exchanges of fire" while conducting "counterterror activity" in the Kafr Dan area.

-ABC News' Nasser Atta and Dana Savir

Qatar and Egypt have received a response from Hamas and the Palestinian factions regarding the truce proposal, the Qatari Foreign Ministry said Tuesday.

Hamas and Islamic Jihad said in a statement, "The response prioritizes the interest of our Palestinian people. The need to completely stop the ongoing aggression against Gaza. The Palestinian delegation expressed its readiness to deal positively to reach an agreement to end this war against our people, based on a sense of national responsibility."

A U.S. official familiar with negotiations describes Hamas’ response as not an outright yes or no, but a counter with questions about provisions included in the proposal and some additional demands.

Another official said that while the U.S. is still analyzing Hamas’ response, mediators see the potential to bridge remaining gaps at this point and will coordinate with all parties involved on the next steps -- which will likely include another round of talks.

Israel received the Hamas response from the mediators Tuesday evening, according to a senior Israeli official. In its response, Hamas rejected the outline of the deal for the release of the abductees presented by President Joe Biden, the official said.

-ABC News' Shannon Crawford and Dana Savir

All four hostages rescued from Gaza this weekend have been discharged from hospitals, local officials told ABC News.

The three male hostages -- Almog Meir Jan, 22; Andrei Kozlov,27; and Shlomi Ziv, 41 -- were discharged from Sheba Medical Center on Tuesday, according to the medical center.

Noa Argamani, 26, was transferred to Ichilov Medical Center on Saturday to be with her mother, who is in the hospital, officials said. Argamani was discharged on Tuesday morning, a hospital spokeswoman told ABC News.

-ABC News Jordana Miller and Dana Savir

State Department spokesperson Matt Miller on Thursday shed little light on the next steps for negotiations toward a cease-fire deal, but dismissed the idea that Israeli Prime Minister Benjamin Netanyahu’s and other Israeli officials’ lack of public enthusiasm for the proposal soured the chances that Hamas would accept it.

"I personally doubt that comments, or lack of comments, from the Israeli government had anything to do with the Hamas response," he said. "We were disappointed both that it took so long to get a response and that the response had a number of changes that could drag the negotiations out further."

Miller was also reticent to discuss remaining sticking points, but on multiple occasions, he dismissed the idea that Hamas should need assurances for a lasting peace, emphasizing that if the proposal were enacted, the cease-fire prescribed under phase one of the deal would last as long as negotiations did.

"At least we would have had a cease-fire. We would have had a halt to the suffering," Miller said. "Hamas didn't do that. Instead, they dragged it out for 12 days, and now there will be continued haggling and delay."

-ABC News’ Shannon Crawford