A gaming device having a bonus scheme wherein a combination of bonus symbols trigger a bonus game and any one of the bonus symbols in the bonus game provides a player with an award. The award may be an extension of the bonus game by providing the player with additional spins or games. Also, the award may modify the combination and type of bonus symbols needed to enter the bonus game. Furthermore, the award may modify the award values in the bonus game. Therefore, a combination of bonus symbols triggers the bonus game and also triggers the gaming device to provide bonus awards in the bonus game. The re-triggering symbol award bonus scheme changes the probability of winning for the player and therefore creates a higher level of excitement and enjoyment of the game.