But the Taliban say they will stop fighting for three days.
Ghani on Thursday, June 7, 2018 announced a weeklong cease-fire with the Taliban to coincide with the holiday.
The festival lasts up to three days.
Afghan security officials on Saturday said in the past 24 hours the Afghan National Defense and Security Forces (ANDSF), Taliban and Daesh suffered heavy losses in battles in a number of provinces. The group also called for its fighters to avoid large gatherings to prevent any civilian deaths in potential airstrikes.
"We hope that (the Taliban) will be committed to implementing their announcement of the cease-fire", he said.
Conversations with diplomats and senior officials in Kabul suggest that the recent unilateral ceasefire announced by the government had been sudden, unco-ordinated with the Taliban and not the outcome of a broader, cohesive peace effort.
Ghani proposed a ceasefire and a release of prisoners among options including new elections involving the militants and a constitutional review in a pact with the Taliban to end a conflict that a year ago alone killed or wounded more than 10,000 civilians.
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In the meantime, Taliban insurgents have continued to carry out attacks against Afghan forces.
The conflict has been at a stalemate for several years, and NATO's best chances of leaving lie in the Taliban agreeing to peace talks and eventually joining the government.
The armed group said on Saturday that the ceasefire would exclude foreign forces, and that it would defend itself against any attack. Hours before accepting the truce, the militants stormed military bases in western and northern Afghanistan, killing almost 40 soldiers. "If different factions don't accept the ceasefire, then attacks will continue".
"Forty five insurgents were killed and 27 others wounded in government air strikes and clearing operations in Andar district in Ghazni province", defense ministry spokesman Mohammad Radmanish said.
But just how that settlement could be negotiated has proved to be a hard task, compounded by several factors, including the Taliban's long but increasingly complicated relationship with the Pakistani military as a source of support, a weak interlocutor in the government in Kabul that's marred by infighting, and the breakdown of consensus among regional players including Iran and Russian Federation, who have stakes in an endgame in Afghanistan.
"Twenty four local police and public uprising forces and 23 insurgents were killed in clashes", Kunduz police spokesman Anamuddin Rahmani said. A dozen other were wounded in the overnight Taliban attack, but the exact figures are not yet clear, Safiullah Amiri, another provincial member, said.