A woman named Kisa has alleged that the actress rear-ended her vehicle before driving away after a brief conversation, reports TMZ.
The woman was driving her Toyota Corolla on Ventura Boulevard in Los Angeles when she was struck by Bynes in her black BMW.
She described Bynes as looking "like a hot mess", before she realised who she was. She added that Bynes "seemed nervous" about exchanging insurance information.
Bynes was then said to have stated that insurance information was not needed as neither car was severely damaged, and quickly drove away.
The woman has now filed a hit and run report with police over the incident.
Amanda Bynes was arrested on suspicion of a DUI in April. She later pleaded not guilty to the charges.
She has since been accused of hit and run incidents on May 5 and May 27.
The actress and her representatives have yet to respond to the claims.