The incident happened around 6:04 p.m. in the 4700 block of Marple Street in the city's Mayfair section.
Authorities said the victims include a woman and four children between the ages of 3 and 6.
All five victims suffered minor injuries and were taken to a hospital, where they are listed in stable condition.
Police said the driver of a burgundy Chrysler 300 was taken into custody. It was not immediately clear whether any charges had been filed.
Investigators have not released details about what led up to the crash.
Anyone who witnessed the incident is asked to contact the police at 215-686-TIPS.