In various embodiments, the gaming system and method disclosed herein maintains a progressive award that is associated with a plurality of different progressive award trigger values or progressive award hit values. In such embodiments, the displayed value of the progressive award does not reset to a reset value or reset amount until the displayed value of that progressive award has incremented to each of the plurality of progressive award hit values associated with that progressive award. In these embodiments, the gaming system provides a plurality of displayed incremented values of a progressive award a plurality of times before the displayed value of that progressive award is reset to the reset value. Such a configuration provides that after the gaming system provides a currently displayed value of a progressive award to a player at least a first time, the displayed value of that progressive award continues incrementing from the provided value.