The incident took place in Katlang bazaar of the town.
The bomber blew himself up when police started chasing him after he had hurled a hand grenade towards the personnel.
A partner of the bomber, however, managed to flee and a search is under way to trace him.
On Friday, a suicide bomber targeted an FC convoy, killing 12 and injuring several others in Peshawar’s Saddar area.
The Tehrik-i-Taliban Pakistan (TTP) had claimed responsibility of the Peshawar blast.