The crash occurred on the 200-block of East 66th Street in the Lamara Heights neighborhood, according to the Savannah Police Department.
No one on the ground was injured in the crash, and the Federal Aviation Administration will investigate further, officials said.
In a statement posted to Facebook on Sunday evening, Savannah Union Firefighters said they received a call about the downed aircraft at approximately 9:46 p.m. EST.
RELATED: 5 dead after a small plane crashes on Catalina Island off of the Southern California coast
The pilot and passenger were trapped in the plane when firefighters arrived on the scene, officials said.
Responding firefighters "worked with great haste to extricate the patients in order for them to be transported to a hospital," according to the statement.
Officials said the area will be closed to allow for investigation and removal of the aircraft.