The invention relates to a device (1) for the fixing of a vehicle to an automobile body straightening bench. A car body rim (5) is fixed to a beam that extends from the automobile body straightener by means of two clamp jaws (3, 4) at each point of fixation. The clamp jaws (3, 4) are at their respective outer ends linked by a pair of scissor arms (3a, 3b; 4a, 4b). These are pivotally connected at two opposed connection points (6a, 6b). The two scissor arms (3a, 3b) for one of the clamp jaws (3) are linked by a first yoke (7), which is rotatably mounted in the scissor arms (3a, 3b). In the middle of the first yoke (7) there is a boring (7a) in which at least one threaded bolt (8) is driven. The scissor arms (4a, 4b) are linked by a plate (9) that is arranged to form a holding-up tool against the upper side (2a) of said beam (2). The scissor arms (4a, 4b) are pivotally connected to two mutually parallel slewing brackets (10a, 10b) by means of a shaft (11), whereby the other ends of the slewing brackets (10a, 10b) rotatably support a second yoke (12). This is provided with a tapped, drilled hole (12a) for the screw (8). Torsion springs operate between the scissor arms (4a, 4b) and the slewing brackets (10a, 10b). The slewing brackets (10a, 10b) are in connection with said shaft (11) provided with excentric surfaces (10a1, 10b1), which when the screws gradually are tightened are arranged to provide friction against the lower side (2b) of said beam (2).