The Israeli government and President Trump’s Middle East envoy said on Thursday that they were recalling the teams that had been negotiating on a Gaza cease-fire with Hamas, ending for now the hope for the return of some of the last surviving hostages from the terrorist attack on Israel nearly two years ago.

Steve Witkoff, the president’s special envoy, said in a statement that the latest response to an offer of a deal from Hamas’s surviving leadership showed “a lack of desire to reach a cease-fire in Gaza.” He added that “we will now consider alternative options to bring the hostages home and try to create a more stable environment for the people of Gaza,” without specifying what those alternatives might include.

Several weeks ago, Mr. Trump had declared that he thought a cease-fire was only days away. It was the second international peace negotiation to falter for Mr. Trump; what he once predicted would be a 24-hour pathway to an armistice of some kind between Russia and Ukraine has also bogged down in disputes over control of territory and Ukraine’s defenses.

In the talks over Gaza, the issues have centered on the areas where Israel’s military would redeploy and the terms of prisoner swaps.

On Thursday morning, Hamas responded to the latest Israeli cease-fire proposal, saying it was accepting the broad outlines of the deal. But as it often has, Hamas raised several demands — mainly seeking to limit the extent of Israel’s redeployment along the border and to renegotiate the formula for how many prisoners Israel would release in exchange for hostages, according to Israeli and Hamas officials.

Officials from several countries said the withdrawal from the talks by Israel and the United States may have been tactical. There have been several near-deals that collapsed since the last major prisoner swap, six months ago.