Video footage showed the singer striking a photographer with his car after he left a service at The City Church in Los Angeles on Wednesday.
The Beverly Hills Police Department said the vehicle had been travelling at an "extremely slow speed" when the collision took place.
The BBC has contacted the 23-year-old's team for comment.
"At 21:24 local time [05:24 BST] we received a radio call about a vehicle-pedestrian collision on Hamilton Drive," Sergeant Matthew Stout of the Beverly Hills Police Department told the BBC.