Trailer coupling having a support element

The invention relates to a trailer coupling for a motor vehicle, comprising a carrier assembly (11), which is provided for arranging on the rear of a motor vehicle and which has a transverse carrier (12) designed as a profiled part at least in some sections and a retainer retained on the transverse carrier for retaining a coupling element (41), in particular a coupling arm (42), of the trailer coupling (10), wherein the coupling element (41) is provided for fastening a trailer (95) or a load carrier (195), wherein the retainer (40) is connected to the transverse carrier by means of a tension anchor (61) of a tension anchor assembly (60), in particular a screw, wherein the tension anchor penetrates the transverse carrier along the tension anchor load axis (S) of the tension anchor and loads an abutment surface (50) of the retainer (40), through which abutment surface the tension anchor load axis (S) or an axis parallel to the tension anchor load axis (S) passes, against a side wall (17) of the transverse carrier, said side wall having a through-opening (23) for the tension anchor (61), characterized in that the tension anchor assembly (60) has a support element (80) having a support surface and having a support protrusion (77), which protrudes from the support surface (74) in the direction of the tension anchor load axis (S) and which engages in the through-opening (23) of the side wall (17), wherein the support surface of the support element (80) is supported on the side wall (17) of the transverse carrier next to the through-opening (23) by means of at least one force component in the direction of the load axis (S) and the support protrusion (77) is supported in the through-opening (23) by means of at least one force component transverse to the load axis (S).