The fire began around 4:30 a.m. in the front bedroom of apartment 17C.
Authorities say it may be connected to another fire in the same building the night before.
That fire happened around 8:00 p.m. on Thursday in the front bedroom of apartment 17A.
Both apartments were occupied at the time of the fires, however no one was injured.
The fires are being investigated by the Gloucester Co. Fire Marshal and the prosecutor's office.