The vehicle was targeted by an improvised explosive device (IED) in Nangrosa area of Tirah in the Khyber district when a convoy of security forces were on a routine duty.
The vehicle was hit when an IED exploded near it.
A security official said that one of the vehicles was hit in the bombing.
"The explosion injured 11 soldiers and damaged the vehicle," he said.
"Some of them were seriously injured. The injured men were airlifted to a military hospital in Peshawar," he said.