A wireless communication game system includes a plurality of mobile game apparatuses, which function as a parent device or a child device and are capable of making a communication with each other, and broadcasts from the parent device a parent device packet including a parent device PID, a user name UserName, a game name GameName, an OC flag, an E slot, a U slot, and a payload. All the parent device packets are received from the parent device existing within a communicationable range of a user's own apparatus, and the user's own apparatus creates a parent device list, and displays the parent device list on an LCD. Therefore, a user or a player of his own apparatus looks at the game name of the parent device list, for example, and operates a cross key included in an operation key so as to select one desired parent device. Then, transmitting a child device number CID of the user's own apparatus at the E slot designated by the parent device packet, the user's own apparatus transmits a connection request to the parent device.