The incident, which was caught on video and showed Oregon football players among a group of close to 100 students hitting cars and drivers with snowballs last Friday. Images also show players dumping containers of snow on vehicle windshields.
Head coach Mark Helfrich made the suspension on Sunday after speaking with the drivers involved.
Brown apologized for his part in the snow melee.
"I was one of the many UO students involved in the snowball fight on Friday and my actions escalated to an inappropriate level and for that, I sincerely apologize," Brown said in a statement released Monday afternoon. "We never should have engaged innocent people and I deeply regret my actions and will accept the consequences."
Other players involved will face disciplinary action as well. Two drivers victimized in the snowball fight will not press charges.
Brown, a 6-foot-6 sophomore from Lyndhurst, Ohio, has 10 catches in nine games for 123 yards and two touchdowns this season.