The "Hairspray" and "What a Girl Wants" star was arrested April 6 after she allegedly hit a police cruiser she was trying to pass.
E! News said the complaint against Bynes said the actress refused a peace officer's request to submit to and/or complete a chemical test to determine how much -- if any -- substance was in her system.
Bynes repeatedly has denied drinking or using drugs before getting behind the wheel the night in question.
The actress is to be arraigned Wednesday on the misdemeanor charge.