There has been a wave of attacks in recent weeks
There was no immediate claim of responsibility for the blast, which shattered the windows of the police vehicle and damaged a nearby police post.
Pakistani security forces have also inflamed anger among pro-Taliban tribesmen in the area bordering Afghanistan after carrying out an air strike on a religious school at the end of October that killed about 80 suspected fighters.
Days later, a suicide attacker detonated a bomb among army recruits on a training ground in a nearby northwestern town, killing 42 of them.
It was the bloodiest-ever strike on Pakistani security forces.
A blast in a passenger van in the eastern city of Lahore later on Friday killed one person and wounded seven, police said.
Four of the wounded were in a serious condition.
There have been more than half a dozen bombs in Peshawar in recent weeks, including one that killed six people and wounded more than 30 in a crowded market on October 20.
Source: Al Jazeera and agencies