The first phase of the ceasefire deal between Hamas and Israel is currently in progress - all living hostages have been released and bodies of the deceased are still being returned to Israel.

Also part of the agreement, Israel freed 250 Palestinian prisoners in its jails and 1,718 detainees from Gaza.

Washington said it had already informed other guarantors of the Gaza peace agreement - which include Egypt, Qatar and Turkey - and demanded Hamas uphold its end of the ceasefire terms.

"Should Hamas proceed with this attack, measures will be taken to protect the people of Gaza and preserve the integrity of the ceasefire," the statement said.

Hamas has not yet commented on the statement.

President Donald Trump has previously warned Hamas against the killing of civilians.

"If Hamas continues to kill people in Gaza, which was not the Deal, we will have no choice but to go in and kill them," Trump said in a post on Truth Social earlier this week.

He later clarified that he would not be sending US troops into Gaza.

Last week, BBC Verify authenticated graphic videos that showed a public execution carried out by Hamas gunmen in Gaza.

The videos showed several men with guns line up eight people, whose arms were tied behind their backs, before killing them in a crowded square.

BBC Verify could not confirm the identity of the masked gunmen, though some appeared to be wearing the green headbands associated with Hamas.

On Saturday, Israel said it had received two more bodies from Gaza that Hamas said are hostages, though they have yet to be formally identified.

So far, the remains of 10 out of 28 deceased hostages had been returned to Israel.

Separately on Saturday, 11 members of one Palestinian family were killed by an Israeli tank shell, according to the Hamas-run civil defence ministry, in what was the deadliest single incident involving Israeli soldiers in Gaza since the start of the ceasefire.

The Israeli military said soldiers had fired at a "suspicious vehicle" that had crossed the so-called yellow line demarcating the area still occupied by Israeli forces in Gaza.

There are no physical markers of this line, and it is unclear if the bus did cross it. The BBC has asked the IDF for the coordinates of the incident.

The Israeli military launched a campaign in Gaza in response to the 7 October 2023 attack, in which Hamas-led gunmen killed about 1,200 people in southern Israel and took 251 others hostage.

At least 68,000 people have been killed by Israeli attacks in Gaza since then, according to the Hamas-run health ministry, whose figures are seen by the UN as reliable.

In September, a UN commission of inquiry said Israel had committed genocide against Palestinians in Gaza. Israel categorically rejected the report as "distorted and false".

Gaza ceasefire: US says Hamas is planning 'imminent' attack on civilians