Green rolled up 119 yards and scored three touchdowns - two rushing and one receiving - in the Packers' 24-14 win in Charlotte, N.C.
Snickers will donate $1,000 to the charity of Green's choice.
Last season Green earned the award with a 176-yard rushing effort in a win over the Chicago Bears in Week 4.
The award is based on fan voting during each week's Monday Night Football game.