The statement did not indicate when the 21-year-old Alexander would be released.
Hamas has said it will release a US-Israeli captive held in Gaza, as the group confirmed it was engaged in direct talks with the United States towards securing a ceasefire in the war-ravaged enclave and getting aid flowing again to a suffering Palestinian population.
The Palestinian group released a statement on Sunday: “Israeli soldier Edan Alexander, a dual US national, will be released as part of efforts towards a ceasefire” and the reopening of aid crossings.
The statement did not indicate when the 21-year-old Alexander would be released, but it is thought to be in the coming 48 hours.
Israeli media reported that US envoy Steve Witkoff will be in Israel on Monday as part of the deal.
It comes shortly before US President Donald Trump’s visit to the Middle East this week – which does not include a trip to Israel. Trump and Witkoff have frequently mentioned Alexander by name in the past few months.
In its statement on Sunday, Hamas said it was willing to “immediately begin intensive negotiations” that could lead to an agreement to end the war and would see Gaza under a technocratic and independent administration.
“This will ensure calm and stability for many years, along with reconstruction and the end of the blockade,” the group said.
There was no immediate comment from either the US or Israel.
Alexander, who grew up in the US, was taken from his military base during the October 7, 2023 Hamas-led attack.
Earlier on Sunday, two Hamas officials told the AFP news agency that talks were ongoing in the Qatari capital of Doha with the US and reported “progress” had been made.
One Hamas official, speaking about the talks with the US, said there was “progress made … notably on the entry of aid to the Gaza Strip” and the potential exchange of captives for Palestinian prisoners in Israeli custody.
A second official also reported progress “on the ceasefire in the Gaza Strip”.
Israel shattered the last ceasefire, which lasted two months, on March 18, launching a major offensive in Gaza and ramping up its bombardment of the territory.
It has also cut off all aid to Gaza since March 2, saying it would pressure Hamas to release the remaining captives. None have been released.
Starvation has taken hold across Gaza due to the Israeli blockade.
Earlier this month, the Israeli government approved plans to expand its offensive in the Gaza Strip, with officials talking of retaining a long-term presence there.
The Health Ministry in Gaza said on Sunday that at least 2,720 people have been killed since Israel resumed its campaign, bringing the overall death toll since the war broke out to 52,829.