In his early years, Mikita was among the most penalized players in the league, but he then decided to play a cleaner game and went on to win the Lady Byng Memorial Trophy for particularly sportsmanlike conduct combined with excellence twice. Mikita's drastic change in behavior came after he returned home from a road trip. His wife told him that while their daughter, Meg, was watching the Black Hawks' last road game on television, she turned and said, "Mommy, why does Daddy spend so much time sitting down?" The camera had just shown Mikita in the penalty box again.