KABUL, Afghanistan — In a two-pronged attack in a southern Afghan province, the Taliban shelled the provincial capital city with rockets and then raided police outposts in a neighboring district, killing at least 20 officers and wounding six others, officials said on Sunday.

The provincial governor of Zabul, Bismillah Afghanmal, said that as many as 1,000 Taliban fighters stormed the police outposts in the Shajoy district, along the highway to the regional hub of Kandahar, in an early morning attack.

As the assault in Shajoy was unfolding, the neighboring provincial capital city of Qalat was shelled with a barrage of rockets. Some landed on the governor’s guesthouse and the police headquarters nearby.

“Luckily, there is no human losses, but damage has been done to the properties of local people and governmental buildings,” Mr. Afghanmal said of the attack in Qalat.