The explosions struck early today in Jalalabad, the capital of Nangarhar province. The first bomb wounded a policeman.
The second was remotely detonated minutes later as police swarmed to the scene to secure it. It killed one police officer and wounded five policemen and three civilians.
The governor's spokesman, Ahmad Zia Abdulzai, says authorities are investigating how insurgents were able to plant the bombs despite heavy security near the governor's compound.