With ceasefire talks due to begin in Egypt in the coming week, Trump said on Saturday on his Truth Social platform that Israel had agreed to an "initial withdrawal line" inside Gaza and that "when Hamas confirms, the Ceasefire will be IMMEDIATELY effective."
At least 36 people were killed in bombardments and air strikes in the devastated Palestinian enclave since Trump pressed Israel to halt its attacks late on Friday.
Eighteen people died in sporadic incidents, while 18 people, including children, were killed and several others wounded in an Israeli strike on a house in the Tuffah neighbourhood in Gaza City, medics said. The attack damaged several buildings nearby.
Israel said it had targeted a Hamas militant who had posed a threat to its troops in the area, and that reports of casualties were under review.
The military "regrets any harm caused to uninvolved civilians and works to mitigate harm to uninvolved civilians as much as possible," it said in a statement.
Hamas said in a statement, referring to the Israeli prime minister, that "the continuation of the occupation's bombing and massacres exposes Netanyahu's lies about reducing military operations against civilians."
Early on Saturday, Trump said he appreciated that Israel had "temporarily stopped the bombing," and he urged Hamas, the Palestinian militant group, to move quickly on his plan "or else all bets will be off."
"I will not tolerate delay, which many think will happen, or any outcome where Gaza poses a threat again. Let's get this done, FAST. Everyone will be treated fairly!" Trump said on Truth Social.
Hamas had drawn a welcoming response from Trump on Friday by saying it accepted certain key parts of his 20-point peace proposal, including ending the war, Israel's withdrawal, and the release of Israeli hostages and Palestinian captives. But the group has left some issues subject to further negotiation, as well as questions unanswered, such as whether it would be willing to disarm, a key demand from Israel to end the war.
Trump posted later: "After negotiations, Israel has agreed to the initial withdrawal line, which we have shown to, and shared with, Hamas."
He said once Hamas agrees to it, a ceasefire would take effect, "the Hostages and Prisoner Exchange will begin, and we will create the conditions for the next phase of withdrawal." He did not elaborate.
There was no immediate confirmation from Israel, which has shown little willingness to significantly pull back its forces.
Earlier Israeli Prime Minister Benjamin Netanyahu said he hoped to announce the release of all hostages from Gaza "in the coming days."
In a brief statement, Netanyahu said he has sent a delegation to Egypt "to finalise technical details," adding that "our goal is to contain these negotiations to a time frame of a few days".
He spoke after Hamas said it had accepted some elements of the US plan.
In a televised statement, Netanyahu also said: "Hamas will be disarmed and Gaza will be demilitarised - either the easy way or the hard way, but it will be achieved."
Netanyahu is under increasing pressure to end the conflict.
A senior Egyptian official said US envoy Steve Witkoff will travel to Egypt to head the US negotiating team in the talks to release the Israeli hostages in exchange for Palestinians in Israeli detention.
Delegations from Israel and Hamas will join the talks, which will also discuss maps showing the expected withdrawal of Israeli forces from certain areas in Gaza, said the official who spoke on condition of anonymity.
An official involved in the ceasefire negotiations also said Arab mediators are preparing for a comprehensive dialogue among Palestinians aimed at unifying their position toward Gaza's future.
Under the plan, Hamas would release the remaining 48 hostages - around 20 of them believed to be alive - within three days.
It would also give up power and disarm.
In return, Israel would halt its offensive and withdraw from much of Gaza, release hundreds of Palestinian prisoners and allow an influx of humanitarian aid and eventual reconstruction.
with Reuters
