The invention has for object a game controller having an actuator (2, 102) mobile in rotation in relation to a fixed part (3, 103), in such a way as to simulate a control of the rotation of a steering column of a simulated vehicle.According to the invention, the game controller implements means for detecting the displacement in rotation of the actuator (2, 102) comprising at least one Hall effect or magnetoresistive effect detecting unit, constituted of at least two elements, of which a permanent magnet and a magnetic sensor (24, 124). At least during the rotation of the actuator (2, 102), a first element is integral in rotation with the actuator (2, 102) and a second element is integral in rotation with said fixed part (3, 103).