The US said some three weeks ago that it killed al-Zwahiri in a drone strike.
Taliban Spokesman Zabihullah Mujahid says the group is still investigating the claim but has failed to find any clues.
He added that the Taliban were not aware of al-Qaeda’s leader in Kabul.
Mujahid noted that the group will do its best to establish truth about the US claim to have killed Qaeda’s leader.
He noted that the US action was a violation of the Doha agreement between the Taliban and Washington.
Mujahid warned that the US attack will have consequences.
Following the announcement by US President Joe Biden that Washington had killed al-Zwahiri, the Taliban said if the was the case, the attack was a breach of international law.