The blast took place when Deputy Commandant FRP Malik Tariq was on his way to the FRP office.
"The bomber was on a motorcycle and he rammed it into the vehicle of Malik Tariq who was on his way to the office,"
Senior Superintendent of Police (SSP) Saeed was quoted as saying.
The FRP is an auxiliary force that can be called up to help the regular police in times of need.
Five-six kilogrammes of explosive material was likely to be used in the making of the bomb.
Rescue teams and security personnel reached the site of attack, and launched an investigation into the blast.
The Tehreek-i-Taliban Pakistan (TTP) in a statement claimed responsibility for the suicide blast. However, the claim is yet to be verified.
Prime Minister Nawaz Sharif condemned the attack, said a statement issued from the Prime Minister House.