Officials say the 26-year-old "What I Like About You" actress rear-ended the vehicle in the early morning hours of April 6.
The DUI charge includes an allegation that Bynes refused the officer's request to submit to a chemical test. Because of her refusal, authorities may suspend her driver's license for a year.
Bynes is set to be arraigned Wednesday but is not required to appear in person.
The Associated Press contributed to this report.