"All the mujahideen are directed to stop offensive operations against Afghan forces for the first three days of Eid-al-Fitr", the Taliban said in a WhatsApp message to journalists.
It was not clear exactly when the ceasefire would begin, as Eid starts when the moon is first sighted, but Afghan calendars mark Friday June 15 as the end of Ramadan.
Just hours before the Taliban's Saturday announcement, at least 17 soldiers were killed when their checkpoint came under attack by the Taliban in western Herat province, said Gelani Farhad, spokesman for the provincial governor.
Nick Kay, the United Kingdom ambassador to Afghanistan, described the ceasefire announcement as an important statement in pursuit of the peace.
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In recent years, a resurgent Taliban has taken control of significant swaths of the country and terrorized citizens and foreigners alike.
President Ashraf Ghani on Thursday declared an apparently unilateral week-long ceasefire with the Taliban.
The Taliban's cease-fire is expected to run from June 12 to June 14, while the government's will last until around June 20.
"This ceasefire is an opportunity for Taliban to introspect that their violent campaign is not winning them hearts and minds, but further alienating the #Afghan people from their cause", he added on Twitter.
In February Ghani unveiled a plan to open peace talks with the Taliban, including eventually recognizing them as a political party.
The Afghan government hopes that the Taliban will respond positively to the demands of the people and clergy in Afghanistan and focus on putting an end to the war in the country, Shah Hossein Mortazavi said.
North Atlantic Treaty Organisation has led worldwide security efforts in Afghanistan since 2003.
At least twenty four security personnel belonging to the Afghan Local Police (ALP) and the Public Uprising Forces lost their lives in an attack by the Taliban militants in northern Kunduz province. It is underpinned both by the heavy daily toll of the long war on ordinary Afghans and U.S. President Donald Trump's limited patience for the costly U.S. involvement here.
The Trump administration has increased the number of USA troops in Afghanistan in an effort to give local forces, which continue to struggle despite more than a decade and a half of outside support, a battlefield advantage. The only time the Afghan government came close to initiating substantive direct talks with the Taliban, in the summer of 2015, the process was derailed by news that the insurgent envoys they were meeting had, in fact, come in the name of a Taliban supreme leader who had died years before, the news of which had been kept secret.
Qureshi said eight militants were killed and nine wounded in the clashes. Hours before accepting the truce, the militants stormed military bases in western and northern Afghanistan, killing almost 40 soldiers.
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