The first bomb planted on a roadside exploded when a police petrol vehicle passed in Aslam Dheri, a neighborhood in the southern outskirts of Peshawar.
The second blast came some 20 minutes later, as police, rescuers and others were trying to help the casualties.
"A policeman embraced martyrdom and three others were wounded in two bomb blasts," senior police official Sajjad Khan told AFP.
Hospital official Zulfiqar Ali Babakhel said that one dead and ten wounded -- three policemen and seven civilians -- were brought to hospital.
The wounded included a driver of private AAJ television who had come to the site after the first blast, he added.
No one immediately claimed responsibility for the attack. But the Pakistani Taliban regularly target military and civilian installations as part of an insurgency which has claimed tens of thousands of lives.