The first blast was a suicide attack while the other was a roadside bomb.
Two bomb blasts in northwest Pakistan killed six people on Monday including four police officers.A teenage suicide bomber detonated himself, killing five people and injuring 11 others.
In the first attack which was claimed by Taliban, targeted a police van on a routine patrol on the outskirts of the troubled city of Peshawar, administration official Siraj Ahmed told AFP news agency.
"The bomber was a teenager, he came on foot and blew himself up near the police van," Ahmed said.
The attack killed three policemen -- deputy superintendent Rashid Khan, his security guard and driver -- while two civilians also died in the blast, officials said.
One more person later died of his injuries in the hospital, he said, adding that another seven of the injured were in a serious condition in hospital.
Another police official was killed and three officers wounded when a roadside bomb went off a short time later near a police van in the suburbs of Peshawar, police officer Ejaz Khan said.
The Tehreek-e-Taliban Pakistan claimed responsibility for the suicide attack.
"We have already announced that we will target police and security forces," TTP spokesman Azam Tariq said in a telephone call to AFP from an undisclosed location.