The present disclosure is directed to a gaming system and method providing a keno game including an object removal feature that may trigger a secondary award. In one embodiment, the keno game is associated with a plurality of keno numbers and a plurality of sets of objects. Each object is associated with one of the keno numbers. The gaming system displays the sets of objects in different layers stacked one atop the other. If an object removal event occurs during play of the keno game, the gaming system removes (at least) one of the displayed objects such that the object is no longer displayed, and determines if a secondary award triggering event occurred based on the removal of the object. If so, the gaming system determines and provides a secondary award. The occurrence of the object removal event thus provides an opportunity for the secondary award triggering event to occur.