Franklin, 35, who was a member of the girl group for five months in 1999, was taken into custody after getting into an argument with a male friend outside a gym, reported E! online.
The police noticed an odor of alcohol, and determined that the singer was intoxicated due to her slurred speech and bloodshot eyes.
Following, the arrest, police found marijuana and charged her with possession as well.
Franklin currently remains in custody with a bail set at USD 250.