The accident reportedly happened on Ventura Blvd in the San Fernando Valley in Los Angeles, reported TMZ Online.
Bynes driving a black BMW allegedly rear-ended a Toyota Corolla driven by a woman named Kisa.
It is said that when Kisa showed an insurance card to exchange information with Bynes, the star thought it was not necessary. Bynes insisted both cars were not badly damaged although the Corolla bumper was broken and the BMW had significant damage to it.
The "Easy A" star reportedly "seemed nervous" during the chat and tried to push Kisa's bumper back into place but it didn't work. When the other driver continued to ask for information exchange, she got back in her BMW and fled from the scene.
Kisa then called police who took it as a hit-and-run report.
Bynes pleaded not guilty to the DUI charge stemming from her April 6 arrest in West Hollywood. She was pulled over by police after sideswiping a patrol car in her black BMW. A month prior, she was given a ticket for talking on her cell phone while driving.