The device for broaching the inner surface of a tubular workpiece includes a support element, a mandrel with an inner hole for mounting the tubular workpiece, and a working tool with a pusher. The pusher is mounted in at least one movable guide, which is located in the guide cup, and each movable guide is provided with a means of returning to its original position. Furthermore, the length of the pusher is greater than the total length of the workpiece and the height of the movable guide or set of movable guides