The Kings beat the Bulls by 29 points in a physical contest which saw Joakim Noah ejected after two personal fouls.
"He's a clown. And he's scared. I wouldn't even waste my time if I ever saw him outside of the gym. He's a clown," Cousins said, Pro Basketball Talk reports.
Cousins was ejected after an altercation with Dunleavy last season while playing against the Milwaukee Bucks.