As a result of the plea deal related to her April 2012 arrest, the 27-year-old actress will not have to serve jail time, the magazine said.
She was placed on three years probation and ordered to pay various fines. She also will be required to attend a three-month alcohol education course, the report said.
The star of "What I Like About You" and "The Amanda Show" spent six months between the hospital and rehab last year, finishing up in December. She was treated for substance abuse and unspecified mental issues.
Bynes began acting at the age of 7 and had a busy career in both television and movies. She announced her retirement in 2010, changed her mind, then retired again in 2012.
Last year, she faced criminal charges including marijuana possession and reckless endangerment in New York City for allegedly throwing a bong out of her apartment window. On Jan. 10, her lawyer accepted a deal in which the charges will be dismissed if she stays out of trouble for six months.