Gen. Matiullah Khan was one of the prominent security officials who was serving as provincial police chief for Uruzgan since 2011.
A spokesmn for the Taliban group, Qari Yousuf Ahmadi, claimed responibility behind the attack.
The incident took place around 8:15 pm local time in Qala-e-Ali Mardan area in the sixth police district of Kabul city.
Earlier reports suggested that the suicide bomber was looking to target a religious place where Shi’ite Muslims are gathering for religious affairs.
The spokesman for the Ministry of Interior Sediq Sediq confirmed the incident said two people were killed following the attack.