By Edward Wong, Adam Rasgon and Thomas Fuller

“The time is now,” Secretary of State Antony J. Blinken declared, urging Hamas to accept the terms of a proposed truce. He also made clear that he expected more from Israel.

“We are determined to get a cease-fire that brings the hostages home and to get it now,” said Secretary of State Antony J. Blinken, in Israel on Wednesday.

Edward Wong reported while traveling with the U.S. secretary of state, and Adam Rasgon reported from Jerusalem. Thomas Fuller reported from the United States.

Secretary of State Antony J. Blinken delivered twin messages to Hamas and Israel on Wednesday, pressing Hamas to accept a cease-fire proposal while at the same time urging Israeli leaders to put off a major ground invasion into the thickly populated southern Gaza city of Rafah.

On the last day of a Middle East trip, his seventh visit to the region since the war began in October, Mr. Blinken tried to turn up the pressure on Hamas.

“We are determined to get a cease-fire that brings the hostages home and to get it now, and the only reason that that wouldn’t be achieved is because of Hamas,” Mr. Blinken said at the start of a meeting in Tel Aviv with Isaac Herzog, the president of Israel. “There is a proposal on the table, and as we’ve said: No delays, no excuses. The time is now.”

The proposed agreement calls for the release of 33 hostages in the initial stage of a cease-fire, and would lead to the release of Palestinian prisoners being held in Israel.

Mr. Blinken’s comments, which were made in Tel Aviv and Jerusalem, were part of a concerted campaign by the Biden administration to secure a pause in a war that, Gazan officials say, has killed more than 34,000 Palestinians. The bloodshed has roiled American campuses and is seeping into domestic politics.

Mr. Blinken also made clear that he expected more from Israel.

Speaking to reporters on Wednesday night after a day of meetings with Israeli leaders, including nearly three hours with Prime Minister Benjamin Netanyahu, Mr. Blinken said that the Israelis had not convinced him that they can prevent the humanitarian catastrophe that is feared should there be a ground invasion of Rafah.

 “We cannot, will not, support a major military operation in Rafah absent an effective plan to make sure that civilians are not harmed — and no, we’ve not seen such a plan,” Mr. Blinken told reporters. “There are other ways, and in our judgment better ways, of dealing with the real, ongoing challenge of Hamas that does not involve, require, a major military operation.”

Mr. Blinken’s visit to the Middle East, which began on Monday, came as Israel is both softening some of its demands in negotiations over a cease-fire and digging in on its vow to move into Rafah “with or without a deal,” as Mr. Netanyahu put it earlier this week.

In its latest proposal, Israel said it would ease travel back to northern Gaza for Palestinian civilians uprooted by its assault, according to two Israeli officials. That is a sharp reversal on an issue that has been a sticking point in the talks.

For weeks, Israel had demanded that it be able to impose significant restrictions on Palestinians heading to the north, out of concern that Hamas, which set off the war with its deadly Oct. 7 attack on Israel, could take advantage of a large-scale return to restrengthen itself.

Now, Israel has consented to Palestinian civilians’ going back en masse during the first phase of an agreement, according to the officials, who spoke on the condition of anonymity to share details of the proposal.

One of the Israeli officials said those returning to the north would be subject to no inspections or limitations, while the second said there would be nearly no restrictions, without elaborating.

It was not clear whether Hamas would accept the Israeli proposal.

On Wednesday night, a spokesman for the group, Osama Hamdan, said in an interview on Lebanese television, “Our position on the current negotiating paper is negative.” But the Hamas press office later clarified those comments. “The negative position does not mean negotiations have stopped,” the press office said. “There is a back and forth issue.”

Hamas has long demanded that any deal include a permanent end to the war, which has forced most of Gaza’s more than two million people to flee their homes. The Israeli offer, according to one of the Israeli officials, does not include language that explicitly discusses an end to the fighting.

Mr. Blinken discussed the hostage and cease-fire deal on the table in his meeting with Mr. Netanyahu in Jerusalem on Wednesday, according to a summary from the State Department. He also spoke about the U.S. government’s “clear position” on Rafah, the summary said. With about a million civilians sheltering there, U.S. officials say that Israel should carry out targeted operations against Hamas leaders and fighters in the city.

Mr. Blinken also spoke with the leader of the opposition in the Israeli Parliament, Yair Lapid. Afterward, Mr. Lapid said in a social media post that Mr. Netanyahu had “no political excuse” not to make a deal to declare a cease-fire and free the hostages. “Every hour is critical,” he said.

Mr. Blinken, with Defense Minister Yoav Gallant of Israel to his left, at the Kerem Shalom border crossing in Israel on Wednesday.Credit...Pool photo by Evelyn Hockstein

Increasing the flow of humanitarian aid to civilians in Gaza has been a recurrent theme during Mr. Blinken’s stops in Israel and, a day earlier, in Jordan.

On Tuesday evening, he visited a warehouse in Jordan where trucks were being loaded with food and medical aid to go to the newly opened Erez crossing into northern Gaza. “This is real and important progress,” Mr. Blinken said, “but more still needs to be done.”

The following day, some 30 trucks with goods from Jordan rolled through the crossing. The opening was promised weeks ago, but the Israeli military said it had needed to build inspection facilities and pave roads on both sides of the border before the crossing could be used by aid trucks.

On Wednesday, Mr. Blinken also visited an inspection checkpoint at Kerem Shalom, a southern border crossing between Israel and Gaza. Flatbed trucks with bags of food aid bound for Gaza — onions, rice and cooking oil — were awaiting inspection. Yoav Gallant, Israel’s defense minister, walked around with Mr. Blinken.

Before touring the checkpoint, Mr. Blinken visited an Israel kibbutz that was one of the sites attacked by Hamas and its allies on Oct. 7. At Kibbutz Nir Oz, he entered a burned-out home where a family of five, all American citizens, had been killed.

Across the border on Wednesday, Israeli airstrikes continued. The Gaza Health Ministry said Wednesday that the bodies of 33 people killed in strikes had been brought to local hospitals over the past 24 hours.