Abstract: Apparatus for the control of the tilting movement and the sliding movement of the cover of slidable-tiltable roofs on vehicles with a rotatable hub on an input side, a driving pinion on an output side, an arrangement for establishing a driving connection between the hub and the driving pinion for producing a sliding movement of the cover and with a reduction stage which is engaged by axial shifting of a control gear for driving the driving pinion by way of the hub for the tilting movement with a reduced transmission ratio relative to that for the sliding movement. Engagement of the reduction stage occurs automatically when starting out from a cover reference position, the hub is moved in a rotational direction corresponding to that for producing the cover tilting movement. The rotational axes of the hub and of the driving pinion coincide and the control gear is disposed coaxially in relation to the common rotational axis of the hub and of the driving pinion.