A game apparatus includes an LCD, and displayed on the LCD is a game screen including a display portion that displays a planar positional relationship between a player object and enemy objects present in a three-dimensional game space. The player object and enemy objects are flight objects, for example. Each time a player presses an X button, a selection state of an enemy object as a target of the player object is switched by turns according to priorities of the enemy objects. When the player continuously presses the X button over a certain period of time, regardless of the priorities of the enemy objects, the selection state is switched to that of a highest priority enemy object.