Lohan's mum on drink-drive charge
Ms Lohan was booked, issued tickets and then released. She will appear in court on September 24.
Her lawyer, Mark Heller,said she "appreciates the grave seriousness" of the situation, but since she has no prior record, she will probably be treated "with even-handed fairness" by the courts.
The traffic stop happened about 25 miles east of New York City and about nine miles from Ms Lohan's home in Merrick.
Her daughter, Mean Girls star Lindsay, 27, has a history of partying and brushes with the law. Last month she vowed to stay "present and clear-headed and focused" after completing her sixth stint in rehab.