A Hamas spokesperson, Hazem Qassem, said: "Hamas has taken a new step in that it will no longer be in charge of the Gaza Strip, in order to remove any pretexts for the occupation."
Prospects for an immediate political transition appear remote as the 13 members of the NCAG remain stuck in Cairo.
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The committee is overseen by the Board of Peace, established under a ceasefire plan brokered by Donald Trump in October.
NCAG chair Ali Shaath stated on social media that the committee was "fully prepared to assume its national responsibilities as soon as the necessary resources and capabilities are available."
In a May report to the UN Security Council, Trump-appointed high representative for Gaza Nickolay Mladenov blamed Hamas for the political impasse.
Hamas maintains it will not disarm while Israel controls most of the territory and commits ceasefire violations.
The Board of Peace issued a noncommittal response, saying it had "taken note" of the announcement.
"Ultimately, our assessment will be guided by actions, not promises," the board said. "The core principle remains one authority, one law and one weapon."
Political Horizon and Reactions
Max Rodenbeck, Israel-Palestine project director at the International Crisis Group, noted that Hamas is keen to break the current logjam.
"In the absence of any 'political horizon' for Palestinians it cannot just lay down its weapons, but it can at least signal its willingness to give up political power," he said.