Israeli Prime Minister Benjamin Netanyahu said on Saturday that he hoped to bring home the hostages being held by Hamas in a matter of days, as negotiators headed to Cairo for talks aimed at putting an end to nearly two years of war in Gaza.

US President Donald Trump warned he would "not tolerate delay" from the Palestinian militant group, after it responded positively to his roadmap for freeing the captives and administering post-war Gaza.

While Trump had called on Israel to halt its bombardment of the Gaza Strip following Hamas' announcement, the strikes continued on Saturday, with at least 57 people killed, according to the territory's civil defence agency.

Netanyahu credited "military and diplomatic pressure" with compelling Hamas to agree to release the captives in a televised statement on Saturday.

"I hope that in the coming days we will be able to bring back all our hostages... during the Sukkot holidays," Netanyahu said, referring to the Jewish festival that begins on Monday and runs for one week.

The premier added he had ordered negotiators to Egypt "to finalise the technical details", with Cairo confirming it would also be hosting a delegation from Hamas for talks on "the ground conditions and details of the exchange of all Israeli detainees and Palestinian prisoners" as per Trump's proposal.

On Friday night, Hamas announced "its approval for the release of all hostages -- living and remains -- according to the exchange formula included in President Trump's proposal."

Trump immediately hailed the statement as evidence the group was "ready for a lasting PEACE," calling on Israel to stop its bombing.

On Saturday, he warned the group to "move quickly" towards a deal "or else all bets will be off".

Netanyahu, meanwhile, insisted in his remarks Saturday that "Hamas will be disarmed... either diplomatically via Trump's plan or militarily by us." (AFP)