A transmission device for a vehicle (1) having a variator (3), which is configured as a hydrostatic device, of a transverse axial construction that can be adjusted at least in the region of a pivot axis (11), a planetary gear set (4) and a manual gear unit (9). The orientation of the pivot axis (11) of the variator (3), following installation in the vehicle, at least approximately corresponds to the orientation of a vehicle vertical axis (16).