Transmission device (100), for example for a watch mechanism (110), in particular for a winding train (100, 201) of a watch movement (120), including an input element (6) intended to be driven only in a first direction, an output element, a first mechanical connection arranged such that the displacement of the input element in a first direction causes the displacement of the output element in a second direction, and a second mechanical connection (9′, 9) arranged such that the displacement of the input element in the first direction causes the displacement of the output element in a third direction, the third direction being opposite the second direction.