Gaming device having multiple different types of progressive awards

A gaming system including a plurality of different types of progressive awards adapted to be provided to one or more players of the gaming machines. In one embodiment, one or more progressive awards are each associated with a progressive hit value, wherein when each progressive award increments to its respective progressive hit value, a triggering event occurs and such progressive award is provided to a player. In one embodiment, one or more progressive awards are each associated with a secondary game, wherein if the secondary game is triggered, a player is provided either a static award or one of the progressive awards associated with the secondary game based on a play of the secondary game. In one embodiment, one or more progressive awards are each associated with an outcome of a primary game, wherein if the associated primary game outcome is generated, such progressive award is provided to a player.