Bristol County Sheriff Thomas Hodgson said the paperwork has been filed in district court. A clerk magistrate will review it.
Hodgson said last week neither inmate required medical attention after the Feb. 25 fight in the Bristol House of Correction. Hernandez is held there without bail after pleading not guilty to murder in the 2013 death of 27-year-old Odin Lloyd, a Boston man dating Hernandez's fiancee's sister.
Bristol County district attorney's spokesman Gregg Miliote said his office was aware a complaint was filed against the former New England Patriots tight end by the sheriff's department, but had no further comment.
Hodgson's spokesman and Hernandez's attorney didn't return messages Thursday night.