A 43-year-old woman was killed in the incident early Saturday.
Detectives released two surveillance photos and issued a community alert Monday in hopes that the public would help them find the hit-and-run car.
Authorities say they believe the car shown in the photos is the one that plowed into the woman who was crossing the street in Uptown. The driver of the car reportedly stopped, put the car in reverse and hit the woman again before leaving the scene.
The female pedestrian was identified as Beverly Akerson. She died eight hours later.
The car is described as a light-colored, four-door sedan that might have front end damage.
The incident happened on Saturday just after 1:30 a.m. Witnesses say they saw the car speeding west on Lawrence Avenue. Then, they say, the car struck the woman near Sheridan Road.
Witnesses say they were not able to get a good look at the car's license plate, but they do think the car was possibly a Buick.