The Pakistan Air Force jets had bombed suspected militant hideouts in North Waziristan - a key haven for Taliban and Al Qaeda elements - on Monday night, which was backed by army gunship helicopters.
At least 50 militants were killed in the attack.
"Most of the terrorists killed in North Waziristan strikes on night of January 20/21 are foreign fighters which include 33 Uzbeks, three Germans and reportedly important terrorist commanders," a Pakistani military source said.
Bhittani served as the acting TTP chief after the killing of Hakeemullah Mehsud and also headed the Taliban supreme shura (decision-making council).
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Pakistani combat jets had pounded militant bases in the North Waziristan, including the home of Taliban commander Adnan Rashid in retaliation for a string of deadly attacks on security forces.
The operation by air force jets took many by surprise. This was the first time the air force resorted to air strikes in North Waziristan since a ceasefire was finalised with local Taliban chiefs in 2007.
An insurgency led by the banned Tehrik-e-Taliban Pakistan plagues the region.
Local media reports said many civilians have started moving out from North Waziristan fearing impending full-scale military operations.