An inverter device for timepiece movements is disclosed which includes first and second toothed wheels intended to be driven in opposite rotation directions and coaxial with an output toothed member intended to be kinematically connected to a pivoting member of the timepiece movement. The wheels are connected to the output member by unidirectional transmission members adapted to transmit to the output member rotation in only the same one predefined rotation direction and to prevent the transmission of rotation of the output member in this predefined rotation direction to one or the other of the wheels. Each unidirectional transmission member includes two diametrically opposite teeth of asymmetrical shape and is connected to the output member in such a manner as to be constrained to rotate with it whilst being able to be moved between first and second extreme positions in a radial direction. Each wheel includes a plate provided with a central counterbore defining a housing for the corresponding unidirectional transmission member and the periphery of which includes n peripheral tips intended to cooperate with the teeth of the corresponding unidirectional transmission member in the predefined rotation direction, and each of which is defined by the intersection of a circular hole with the periphery, n being equal to or greater than one.