During last Sunday's game, Oklahoma City Thunder guard James Harden suffered a concussion when his head connected with MWP's swinging elbow.
Harden has not yet been cleared to play.
The suspension means World Peace will miss out on Thursday's regular-season finale at Sacramento. He also would not be eligible to play in six playoff games, should the Lakers soldier forth into that territory.
Any remaining part of his suspension will be applied to the beginning of next season.
He will not be paid for missed games.
Lisa Brenner can be reached via Twitter @lisa_brenner