The suspension, his third this season, came after Cousins exchanged words with Kings coach Keith Smart during halftime of Friday's loss to the Los Angeles Clippers. The centre did not play in the second half after being left in the locker by Smart.
Cousins, who is averaging 16.6 points and 9.5 rebounds, lashed out at Smart after the coach said something to him, the Sacramento Bee reported.
Cousins later apologized for his actions.
"I shouldn't have responded back," he told reporters. "Should have accepted what was said and stayed quiet."
Cousins twice has been suspended by the National Basketball Association this year.
He was suspended for two games in November for confronting a San Antonio Spurs announcer and was benched one game by the league earlier this month after striking the Dallas Mavericks' OJ Mayo in the groin.