Suh "unnecessarily stepped on [the] opponent's unprotected leg as he lay on the ground unable to protect himself," according to a statement released by the NFL.
Suh is appealing the suspension and his appeal will be heard by Ted Cottrell.
If Suh's appeal is denied, it would mean Detroit would be without both of its first-round defensive tackle selections. Coach Jim Caldwell said Monday it would take "a miracle" for defensive tackle Nick Fairley to play against the Cowboys. Fairley has not played or practiced since injuring his knee against Atlanta in Week 8.
This isn't the first time Suh has had issues with Green Bay. He was suspended for two games in 2011 after stomping on the arm of then-Packers center Evan Dietrich-Smith. Suh was also fined $100,000 last season for an illegal low block on Minnesota center John Sullivan.
If Suh is not allowed to play in Sunday's game and the Lions lose, it could be the end of the defensive star's time in Detroit as he is set to become a free agent at season's end.
Information from ESPN's Chris Mortensen and ESPN.com's Detroit Lions reporter Michael Rothstein contributed to this report.