A dark green hatchback traveling westbound on Silver Avenue near Elmira Street struck the boy, who was walking ahead of a family member in a crosswalk at around 11:30 a.m.
The boy, a San Francisco resident, was taken to a hospital with non-life threatening injuries, police said.
The driver, described as a Hispanic man, drove away from the scene. The vehicle was described as a 80s dark green hatchback with a missing passenger side mirror.
Anyone with information is asked to call police at (415) 575-4444 or text a tip to TIP411 and include SFPD in the message. Anyone who spots the vehicle is asked to call (415) 553-0123 or 911.