The suspension means Abdelkader must miss Games 4 and 5 of the first-round playoff series between the Red Wings and Ducks. Anaheim leads the series 2-1.
Abdelkader appeared to catch Lydman in the side of the head with his left shoulder, and he was given a major penalty for charging and a game misconduct with 4:49 remaining in the second period. Anaheim went on to win the game 4-0.
The 26-year-old Abdelkader played all 48 games during the regular season for Detroit, scoring 10 goals with three assists. He also scored a goal in Game 2 against Anaheim, and the Red Wings went on to win 5-4 in overtime.
Game 4 is Monday night.