A rotary centering device for the transfer of a bar from the guiding channel of a feeder to a lathe, comprising a supporting element that is associated with the output of the feeder and is provided with at least one circular seat in which a grip element for a bar is supported rotatably and slidingly along an axis that is coaxial to said guiding channel, said grip element being constituted by a bush made of flexible plastic material, which has a tubular portion and a plurality of sectors connected to said tubular portion so that they can flex on planes that are radial with respect to said axis, elastic means being provided which act on said bush and are designed to control its axial movement between a first stop position, in which said sectors define a circular opening whose diameter is the same as that of the bar, so as to be able to guide without play said bar during its transfer toward the lathe, and a second position, in which said sectors, after being affected by the bar pusher, are moved until they form an opening to allow the passage of the bar pusher and determine the loading of said elastic means and the fastening of said sectors on said bar pusher, so as to retain it coaxially with respect to said axis.