A bonus event for Blackjack card games is provided. The bonus event has two or more designated bonus element, such as card hands. If one of the bonus elements is achieved as the result of play of a first Blackjack game, the bonus event is triggered. A bonus award is paid to the player if the player receives remaining required bonus elements as a result of the play of additional Blackjack games during the bonus period. The game is preferably played against a dealer at a video Blackjack machine and offers the player the opportunity for awards for each Blackjack game win and one or more additional bonus awards.