The security official said the victims of Monday's attack were members of the Afghan intelligence service, Khaama Press reported.
A spokesman for the coalition forces said several rockets hit Bagram Airfield in Parwan, destroying one helicopter and damaging several aircraft.
The attack that came hours after coalition forces transferred responsibility for Bagram prison to Afghan authorities.
Meanwhile, the International Security Assistance Force confirmed Tuesday two senior Taliban leaders, including the man suspected of orchestrating a 2008 ambush in which several French soldiers died, were killed in a weekend airstrike.
The Taliban leaders, identified as Mullah Hazrat and Shakir, were killed in an airstrike Sunday in Laghman province, the ISAF said in a release Tuesday.
Afghan and coalition forces also reported finding and clearing out 31 improvised explosive devices Sunday and Monday during a clearance operation in Kandahar province, the ISAF said.
ISAF forces also seized and destroyed more than 750 kilograms (about 1,650 pounds) of opium and arrested two suspected narcotics smugglers in Helmand province, the coalition said in a release.
Afghan and coalition security personnel Tuesday detained several suspected insurgents and destroyed a weapons cache that included several rocket-propelled grenades and components, and other firearms in Logar province, the coalition said.
In Nangarhar province, Afghan and coalition security forces killed an armed insurgent and held several suspected insurgents while trying to arrest a Taliban leader Tuesday, the coalition said. The security force also seized and destroyed assault rifles, several grenades and grenade components, and nearly a dozen kilograms of illegal narcotics and homemade explosives.