The pause would facilitate delivery of humanitarian aid to Gaza.
Qatar Foreign Ministry spokesperson Majed Al-Ansari said the proposal on a hostage release deal was delivered to Israel in the early hours of Tuesday.
“The State of Qatar is awaiting the result of the Israeli government’s vote on the proposal,” he said.
Hamas has to date released only four captives: US citizens Judith Raanan, 59, and her daughter, Natalie Raanan, 17, on Oct 20, citing “humanitarian reasons”, and Israeli women Nurit Cooper, 79, and Yocheved Lifshitz, 85, on Oct 23.
The armed wing of the Palestinian militant group Islamic Jihad, which participated in the Oct 7 raid with Hamas, announced late on Tuesday the death of one of the Israeli hostages it has held since the Oct 7 attacks on Israel.
“We previously expressed our willingness to release her for humanitarian reasons, but the enemy was stalling and this led to her death,” Al Quds Brigades said on its Telegram channel.
As attention focused on the hostage release deal, fighting on the ground raged on with Israel saying its forces had encircled the Jabalia refugee camp, a major urban flashpoint and Hamas militant stronghold.
The Palestinian news agency WAFA said 33 people were killed and dozens wounded in an Israeli air strike on part of Jabalia, a congested urban extension of Gaza City where Hamas has been battling advancing Israeli armoured forces.
In southern Gaza, Hamas-affiliated media said 10 people were killed and 22 injured by an Israeli air strike on an apartment in the city of Khan Younis.
Reuters could not immediately verify the accounts of fighting on either side.