US President Donald Trump said he would try to go to Egypt for the signing of a Gaza ceasefire deal, adding that he expected Hamas to free hostages on Monday or Tuesday under the long-sought agreement.

Speaking at a cabinet meeting on Thursday, Trump said the agreement between Israel and Palestinian militant group had "ended the war in Gaza" and would lead to broader Middle East peace.

"We secured the release of all of the remaining hostages, and they should be released on Monday or Tuesday," Trump told his assembled cabinet secretaries at the White House.

But Trump said that the bodies of some of the dead hostages would be "hard to find."

Trump announced plans to travel to the Middle East even before he unveiled the first phase of the peace deal on Wednesday, but said arrangements were still being made for a possible stop in Egypt.

"I'm going to try and make a trip over. We're going to try and get over there, and we're working on the timing, the exact timing," Trump said on Thursday.

Egyptian President Abdel Fattah al-Sisi said earlier that he had invited his US counterpart to take part in a "celebration to be held in Egypt" for the agreement for the first phase of a ceasefire.

Trump said he also expected to visit Israel, adding that he had been invited to address the Israeli parliament.

Trump falsely claimed that he would be the first president to do so. The Knesset website lists US presidents George W Bush, Bill Clinton and Jimmy Carter among foreign leaders who have addressed the parliament in the past. (AFP)