Omar, one of the world's most wanted terrorists, has been on the run for more than a decade and has even been reported dead.
But he broke his silence yesterday to taunt the UK and the US and brag "the invading enemy will flee Afghanistan", the Sun reported.
One-eyed Omar was dead al-Qaeda chief Osama Bin Laden's staunchest supporter, and has a price of more than 6.5 million pounds on his head.
Omar, 53, is second only to Ayman al-Zawahiri, Bin Laden's successor, as the world's most wanted man.
Earlier the Taliban's statement to mark the Islamic holiday of Eid ul-Fitr said the militants had "cleverly infiltrated in the ranks of the enemy according to the plan given to them last year".
"Many conscious Afghans in the rank and files of the enemy have shown willingness to help the Mujahideen," it claimed.
"As a result, the foreign invaders and their allies in their military centres and bases do come under crushing blows of these heroic soldiers."