The invention relates to a gear actuator for a motor vehicle transmission design, that has several ratio steps for forming gears, whereby the gear actuator has a gear-shift shaft that is mounted so that it can rotate for the shifting of gears and that is mounted so that it can slide axially for the selection of gears and whereby the gear actuator also has a shift gate, whereby the shift gate also has a fixed mounted first shift gate part that is especially a shaft or an axle, as well as a second shift gate part that is mounted so that it can move axially and move in rotation or swivel, which is especially a disk or plate and is coupled with the gear-shift shaft and whereby the first shift gate part has several axially spaced recesses, into which the second shift gate part can be swiveled depending on its axial position.