Kobe Bryant added 20 points with six rebounds and six assists, while Pau Gasol and Metta World Peace contributed 18 points each as the Lakers won a second straight game for the first time this season.
Jordan Hill came off the bench to provide eight points and seven rebounds as Los Angeles dominated the boards 50-39.
Cousins was sanctioned for confronting Spurs announcer Sean Elliot in a threatening manner during the Kings' Friday loss to San Antonio.
Rosie O'Donnell unveils nearly 50-pound weight loss
Members of Congress to keep receiving porn magazine