The shooting happened just after 10:00 p.m. in the 4800 block of B Street.
Police say that an argument broke out between two males. As the argument ensued, the two men fired shots at each other and the girl was struck by a stray bullet.
She was taken to Saint Christopher's Hospital for Children, where she is listed in critical condition.
Both gunmen were apprehended but no charges have been filed at this time.