There is provided a control apparatus for a game or the like, that is capable of automatically carrying out a game or simulation starting/terminating process according to operations performed necessarily in executing the game or simulation. Controllers are mounted on or gripped by a player for operation. Position sensors detect the positional relationship of the controllers with respect to a space for executing the game. A control circuit controls the start/termination of the game, and the, turning-on/off of power sources of the controllers, according to the results of the detection by the position sensors.