The report quoted locals as saying that Kashmiri was killed in the strike that killed at least nine militants.
Kashmiri was the chief of the Harkatul Jihad al-Islami (HJI), an organisation affiliated with al Qaeda.
He is believed to have masterminded the attack on the PNS Mehran naval base in Karachi.
A government official in Peshawar told that although he had been receiving information regarding the death of Kashmiri in the drone strike.
Moreover, the official said that those killed in the attack were believed to be militants from Punjab.