A trailer hitch apparatus for releasable hitching of a towing vehicle to a towed vehicle in order to form a combination, made up of towing vehicle and towed vehicle, for towing operation, the trailer apparatus encompassing: - a fastening means for fastening the trailer hitch apparatus to one vehicle from among the towing vehicle and towed vehicle; - a hitching means for establishing and severing a positive hitching engagement with a counterpart hitching means of the respective other vehicle from among the towing vehicle and towed vehicle, a towing force acting on the hitching means in a towing force action direction when hitching engagement is established and during towing operation of the trailer hitch apparatus as intended, when reference towing operation driving straight ahead on a flat horizontal roadway is considered; - a displacement device for displacing the hitching means along a displacement axis that encloses an angle with the towing force action direction, the displacement device comprising a fastening-means-mounted housing component, immovable relative to the fastening means and rigidly connected thereto, and a movement component displaceable relative to the housing component along the displacement axis, the hitching means being coupled to the movement component for displacement together, so that the hitching means is displaceable between a hitch readiness position farther from the fastening means and a hitch operating position, different from the latter, closer to the fastening means, the hitching means comprising a force transfer portion (36a, 36b) that, in the hitch operating position, is in or is conveyable directly into force-transferring abutting engagement with a counterpart force transfer portion of the fastening means, wherein the fastening means is embodied in at least two parts, having a vehicle-side bearing component fastenable directly to the vehicle and having a carrying component that carries the displacement device having the hitching means, the carrying component being coupled to the bearing component foldably around a folding axis. - a fastening means for fastening the trailer hitch apparatus to one vehicle from among the towing vehicle and towed vehicle; - a hitching means for establishing and severing a positive hitching engagement with a counterpart hitching means of the respective other vehicle from among the towing vehicle and towed vehicle, a towing force acting on the hitching means in a towing force action direction when hitching engagement is established and during towing operation of the trailer hitch apparatus as intended, when reference towing operation driving straight ahead on a flat horizontal roadway is considered; - a displacement device for displacing the hitching means along a displacement axis that encloses an angle with the towing force action direction, the displacement device comprising a fastening-means-mounted housing component, immovable relative to the fastening means and rigidly connected thereto, and a movement component displaceable relative to the housing component along the displacement axis, the hitching means being coupled to the movement component for displacement together, so that the hitching means is displaceable between a hitch readiness position farther from the fastening means and a hitch operating position, different from the latter, closer to the fastening means, the hitching means comprising a force transfer portion (36a, 36b) that, in the hitch operating position, is in or is conveyable directly into force-transferring abutting engagement with a counterpart force transfer portion of the fastening means, wherein the fastening means is embodied in at least two parts, having a vehicle-side bearing component fastenable directly to the vehicle and having a carrying component that carries the displacement device having the hitching means, the carrying component being coupled to the bearing component foldably around a folding axis.