According to details, the twin explosions rocked the area of Mithra on Wednesday morning.
Rescue teams arrived on the spot and confirmed that a policeman had been killed in the first explosion. The second explosion took place when bomb disposal squad officials were searching for other explosive material in the area.
Several vehicles were also destroyed in the second explosion.
The wounded persons were rushed to Lady Reading Hospital for treatment of their injuries. Their condition is said to be out of danger.
A bomb on a bus carrying government employees in the Pakistani city of Peshawar killed 15 people on March 15 in Peshawar.
Pakistani security forces stepped up their fight against the Pakistani Taliban and allied militants along the border with Afghanistan after the massacre of 134 children at an army-run school in Peshawar in December 2014.
Bomb attacks have fallen off since then as the militants have been squeezed into smaller pockets of territory. However, militant groups remain able to launch sporadic attacks on security forces and civilian targets.
Two Pakistani employees of the U.S. consulate in Peshawar and some soldiers were killed by a bomb while on a drug-eradication mission in March as well.