The report said the militant group has not commented on the claim.
The Taliban leader died two to three years ago, Afghan government and intelligence sources said.
A Taliban spokesman contacted by the BBC said the group would issue a statement shortly.
In April this year, the Taliban had issued a statement saying the head of Afghanistan’s Taliban insurgents, Mullah Omar, is alive and in touch with current events, the group has said in a 5,000 word document released to mark his nineteenth year of leadership.
Published on a Taliban website in four languages, the account addresses rumors the reclusive one-eyed leader, in hiding for over a decade, is either dead or seriously ill.
“He remains in touch with the day-to-day happenings of his country, as well as the outside world,” the document says.
The U.S. State Department has a $10 million bounty on Mullah Omar’s head and the Taliban leader has not appeared in public since the American-led invasion of Afghanistan in 2001.