Farrah Franklin -- a former member of Destiny's Child -- was arrested for disorderly conduct in Culver City, CA this weekend ... TMZ has confirmed.

Franklin -- who spent 5 months with the group in 2000 before Beyonce and Kelly Rowland gave her the chop -- was arrested at 6:45 AM on Saturday. Sources close to the situation tell us alcohol was involved.

According to the booking sheet, 29-year-old Franklin was released from custody later that day on $100 bail.

Franklin appeared in the group's video for "Say My Name" off the "The Writing's On the Wall" album. She was reportedly fired from the group by Matthew Knowles for failing to show up for several appearances and showing a lack of enthusiasm.