Marquise "Hollywood" Brown apparently has a need for speed ... 'cause TMZ Sports has learned the Cardinals star was ticketed for going 71 MPH in a 50 zone just weeks before he was arrested for allegedly going 126 MPH in a 65.
According to court documents, cops say Brown went roughly 21 MPH over the speed limit in a black Mercedes on June 9 in Maricopa County, Ariz. He was issued a ticket for the offense on July 11.
Per the docs, Brown is facing a fine of $350.