A device for sequentially switching at least one first and at least one second Venetian blind, the slats of which can each be synchronously rotationally moved by means of at least one coupling rod in order to open and close the blinds. The device includes an actuator for generating a rotational movement of the slats through 80° to 90°, a coupling for rotatably coupling the actuator to a slat of the first blind, a link rod which has a partially-circular link, and a transmission rod. The actuator has an eccentric pin parallel to its axis of rotation which engages in the partially-circular link of the link rod, and the linear movement of the link rod is transmitted to the coupling rod of the at least second blind.