Officials said the driver, a 69-year-old woman, hit the 31-year-old male pedestrian in the 2900 block of East Telegraph Road.
The man suffered serious injuries to his head and hip. The driver had neck and back pain.
Authorities said that after hitting the pedestrian, the car left the road, hit and knocked down a tree and a sidewalk newspaper stand.
Both the driver and pedestrian were taken to a hospital. Their condition was not known.
The cause of the accident was being investigated.