In order to connect a trailer coupling, in particular for motor vehicles, comprising a ball neck, a cross member, which is provided with a holding unit for the ball neck, and also two spaced attachment parts, which engage on the cross member and connect the cross member to mounting elements, which are themselves mountable on a rear part of a motor vehicle body, in such a manner that undesirable moments and/or forces are transferred to the motor vehicle body on the lowest possible scale, it is proposed that a connection between the cross member and the mounting elements is achieved only by means of the attachment parts, that the attachment parts have a cross member holding strip element connected to the cross member and that, through at least one curved strip element running to the cross member without connection, the cross member holding strip element runs to a mounting strip element, which is connected to the respective mounting element.