The invention relates to a gearbox comprising a shift fork (4) that is displaced by an actuator using a shaft (2), whereby a rotational displacement of said shaft is translated into a displacement of the shift fork. To achieve an accurate displacement with minimum installation space, the gate (14) is configured on a sleeve (13) that is connected to the shift fork unit (4) in a rotationally fixed manner, said sleeve acting on the shift fork unit (4) in the direction of the displacement by means of a spring (24) and the shaft (2) runs through the sleeve (13), said shaft comprising a finger (11) that protrudes radially and co-operates with the gate. The shift fork unit (4) forms a housing (8) that surrounds the sleeve (13) and the spring accumulator (24) and that comprises bearing surfaces (34), by means of which the shift fork unit (4) is guided on the shaft (2) in the direction of the displacement.