A game apparatus includes a CPU. In the game apparatus, when it is determined that a player object has collided with an enemy object not in a predetermined state, the enemy object is turned into the predetermined state. Then, by a collision with the enemy object in the predetermined state, the player object is connected with the enemy object. Further, the player object is given different abilities depending on the kinds of the connected enemy objects. After that, when a plurality of enemy objects are connected to the player object, the player object is provided with different abilities according to connection patterns of the kinds of the plurality of enemy objects.