The crash happened just after midnight in the 2700 block of North 16th Street.
Police say they had stopped a vehicle that was travelling the wrong way down the one way street when the driver suddenly sped off.
While fleeing police, the suspect's vehicle struck a car head-on, injuring the two people inside.
The driver of the striking vehicle then fled the scene on foot.
A 23-year-old woman and 22-year-old man were taken to the hospital in stable condition
Police are searching for the driver who remains on the loose.