A game controller includes an assembled shell and at least one control member which passes through the assembled shell and includes, outside the assembled shell, a head for manipulating the control member. The head is pivotable in all directions from a rest position into which it returns in a rotationally elastic manner. The game controller further includes at least one adjusting element for adjusting the stop angle (α) of the control member and is able to be removably mounted on the control member and removed from the control member without disassembling the shell of the game controller. The control member is provided with the removable adjusting element tiltable in each tilt direction until it reaches a stop position in which the adjusting element abuts and allows the tilting of the control member to be blocked.