However, the claim of his death has been rejected by the Afghan Taliban on Monday claims.
Earlier, Afghanistan's first deputy speaker of the national assembly Zahir Qadir claimed Mullah Omar's son, Mullah Yaqub, was killed in Quetta last week.
"There is no truth in the claim. Yaqoob is alive and I am in contact with him," said a Taliban official.
Another Taliban official, Aminul Haq, said he contacted Yaqoob two days ago and Afghan officials were issuing baseless statements to create a misunderstanding within the group.
According to reports, Mullah Yaqub, who had hoped to succeed his father as leader of the Afghan Taliban, was killed by supporters of the new Taliban chief Akhtar Mansoor four days ago while he was attending a meeting.