A switching device for a motor vehicle transmission includes a coupling component, several transmission shafts which each are rotatable about a transmission axis, a frictional contact ring including a friction cone and being substantially non-rotatably and axially shiftably connected with a transmission shaft, a form-fit ring including a cone surface and being substantially non-rotatably and axially shiftably connected with the coupling component, as well as an actuating body including a cone surface and being substantially non-rotatably and axially shiftably connected with the coupling component. The friction cone of the frictional contact ring extends between the cone surface of the form-fit ring and the cone surface of the actuating body. The transmission shaft and the coupling component are decoupled in direction of rotation in an axial starting position of the actuating body, frictionally coupled in direction of rotation in an axial frictional contact position of the actuating body and positively coupled in direction of rotation in an axial form-fit position of the actuating body. The form-fit ring in a form-fit position is positively connected with the transmission shaft and in a release position is not positively connected with the transmission shaft. The form-fit ring is axially movable between its form-fit position and its release position and is urged into the release position. In addition, a method for actuating a motor vehicle transmission is provided.