The Tri-City Herald reported Wednesday that the request follows an incident at a recent wrestling match in Richland.
School board president Tim Cook was allegedly abusive after he heard coach Holly Graham talking to district officials about his improperly being on the wrestling floor. Cook has a daughter who wrestles for the high school.
Graham says Cook kept trying to get closer to her and kept raising his voice.
Court documents say the order would prevent Cook from approaching Graham or contacting her.
A Benton County District Court judge will hear Graham's request Tuesday.