The plane, Piper PA-28, crashed at about 10:30 a.m. ET after departing from the nearby DeKalb-Peachtree Airport, Federal Aviation Administration spokeswoman Kathleen Bergen said.
It is not clear if there are any casualties.
Pictures from the crash site show a two-storey building that lacks much of its brick facade. There are also damage to the roof. Atlanta-based Constitution Journalist John Spink tweets the images.
Firefighters and police were on the scene, the photos show. Only one car was parked next to the building.
The Piper PA-28 is a line of single-engine airplanes with two or four seats. There are more than two dozen variants of the model.
This is a developing story. Please check back for updates.