The army added in a statement that the coffin of a deceased hostage was on the way to Israeli troops in the Gaza Strip.
The handover came after Hamas's military wing said it would hand over the body of a hostage that was pulled out on Friday, local time.
The militants were trying to shore up a tenuous ceasefire with Israel by bringing out bulldozers in Gaza to search for bodies they say remain trapped under rubble.
The Israeli military and Shin Bet security service, in a joint statement, said official identification of the dead hostage would first be provided to the families, before adding, "Hamas is required to uphold the agreement and take the necessary steps to return all the deceased hostages".
This week, Hamas, in co-ordination with the International Committee of the Red Cross, has handed over to Israel the remains of nine hostages — along with a 10th body that Israel said wasn't that of a hostage.
The effort to find bodies followed a warning from US President Donald Trump that he would green-light Israel to resume the war if Hamas doesn't live up to its end of the deal and return all hostages' bodies, totalling 28.
In a statement earlier on Friday, Hamas said some hostages' remains were in tunnels or buildings that were later destroyed by Israel, and that heavy machinery is required to dig through rubble to retrieve them.
It blamed Israel for the delay, saying it had not allowed any new bulldozers into the Gaza Strip.
On Friday, two bulldozers ploughed up pits in the earth as Hamas searched for hostages' remains in Hamad City, a complex of apartment towers in the city of Khan Younis.
Hamas urged mediators to increase the flow of aid into Gaza, expedite the opening of the Rafah border crossing with Egypt and start reconstruction.
It also called for work to "start immediately" on setting up a committee of Palestinian independents who will run the Gaza Strip and for Israeli troops to continue pulling back from agreed-upon areas.
The ceasefire plan introduced by Trump had called for all hostages — living and dead — to be handed over by a deadline that expired on Monday.
But under the deal, if that didn't happen, Hamas was to share information about deceased hostages and try to hand them over as soon as possible.
Israeli Prime Minister Benjamin Netanyahu has said Israel "will not compromise" and demanded that Hamas fulfill the requirements laid out in the ceasefire deal about the return of hostages' bodies.
At a news conference with his German counterpart in Ankara, Turkish Foreign Minister Hakan Fidan expressed concerns that Israel might use Hamas' "lack of equipment" to recover bodies as a pretext to resume hostilities.
Hamas released all 20 living Israeli hostages on Monday. In exchange, Israel freed around 2000 Palestinian prisoners and detainees.
In Israel, the Hostage and Missing Families Forum — which groups many families of hostages — said they will continue holding weekly rallies until all remains are returned.
Israel has also returned to Gaza the bodies of 90 Palestinians for burial. Israel is expected to turn over more bodies, though officials have not said how many are in its custody or how many will be returned.
A Palestinian forensics team examining the remains said some of the bodies showed signs of mistreatment.
Israel's campaign in Gaza has killed nearly 68,000 Palestinians, according to the Health Ministry, which is part of the Hamas-run government in the territory.
In the October 7, 2023 attack on Israel, militants killed about 1200 people and took some 250 hostage.
18°C