Abstract: A radial press has a press frame with press yokes movable relative to one another. The press yokes have on each side of a dividing gap (T) a recess with initial slide surfaces on which at least two supports situated displaceably opposite one another relative to the gap (T). The first slide surfaces for the displaceable supports are aligned parallel to one another and perpendicular to a pressing direction (P). Two of the oppositely lying support bodies can be displaced by a wedge-shaped thrusting body which can move parallel to the dividing gap (T), the thrusting body being mounted in the recesses between two second slide surfaces, the second slide surfaces forming an angle between them. The angle is chosen such that the path of the thrusting body parallel to the dividing gap (T) is of the same magnitude as the pressing stroke of the press yokes perpendicular thereto.