Morris received the offensive honor after rushing for a career-high 200 yards and three touchdowns in a 28-18 win over Dallas that clinched the Redskins' first NFC East title since 1999.
The 2012 sixth-round selection finished the regular season with 1,613 yards on the ground, breaking Clinton Portis' single-season team record.
Brown became the first safety in franchise history to be honored defensively twice in a career after recording six tackles and an interception that set up the Giants' first touchdown in a 42-7 thrashing of Philadelphia. He also picked up the award in Week 8 this season.
Walsh earned his third special teams award of the season after kicking three field goals, including a game-winning 29-yarder as time expired, in the Vikings' playoff-clinching 37-34 victory over Green Bay.
