The invention relates to a gripper frame for holding three-dimensional components, in particular, in the motor vehicle industry, and which is fitted with a plurality of support arms (1) for the clamping and/or centering elements (2). The aim of the invention is to avoid having to exchange all of the support arms (1) with clamping and centering elements (2), in the event of a modification of the geometry of the three-dimensional component. As a result, the support arms are fitted with at least one ball joint (3, 4) and/or a longitudinal extension (5) which can pivot, slide and rotate in the clamping and release unit of an adjusting mechanism which is integrated into the support arm. Each ball of the ball joint (3, 4) and each cylinder journal of the longitudinal extension (5) is maintained by clamping jaws (7b), which are operated by a force generator (8), in order to adjust a predefined geometry for one three-dimensional component to the geometry of a different three-dimensional component in a simple manner. Said clamping jaws (7b) can be released against the force of a force generator (8) by means of an adjusting element of a driven eccentric (11) or cam drive.