Palestinian groups in Gaza said they would release hostages Iair Horn, US-Israeli Sagui Dekel-Chen and Russian-Israeli Alexandre Sasha Troufanov on Saturday, in accordance with the terms of the ceasefire with Israel.
A statement from Prime Minister Benjamin Netanyahu's office said Israel accepted the list.
Hamas had earlier threatened not to release more hostages after it accused Israel of violating the terms of the ceasefire by blocking aid from entering Gaza, drawing counterthreats of a resumption of fighting from Israel.
The announcement, after days of uncertainty about whether the ceasefire agreed last month would hold, followed intense efforts by Egyptian and Qatari mediators to keep last month's US-backed agreement on track.
The January 19 ceasefire, which largely halted Israel's 15-month offensive in Gaza, has been under heightened pressure since US President Donald Trump made a shock proposal to take over the territory.