A fastening means for a luggage container which is fixed or fixable removably to a motorcycle, especially for a luggage case which is to be fastened to the rear end of a motorcycle from above, having: • a luggage container which ∘ has a wall from which ▪ at least two positively-locking elements (9, 12) which are arranged fixedly on the luggage container protrude, and ▪ at least one positively-locking element (14, 15) which is arranged on the luggage container displaceably between a mounting/dismounting position and a holding position, and which ∘ has an actuating means (14, 15, 18 - 20) by means of which the at least one displaceably arranged positively-locking element (14, 15) is displaceable, • a holding means which is fastened to a motorcycle, and which has at least two receptacles (4 - 7) provided for receiving the at least two fixedly arranged positively-locking elements (9 - 12) and at least one receptacle (4, 5) provided for receiving the at least one displaceably arranged positively-locking element (14, 15), wherein the luggage container by actuating the actuating means (14, 15, 18 - 20) is displaced relative to the holding means from a mounting/dismounting position into a holding position, and vice versa, wherein • the actuating means (14, 15, 18 - 20) has a manually actuated actuating element, • the actuating element is movable back and forth between a mounting/dismounting position and a holding position, wherein in the mounting/dismounting position it has the function of a carrying handle of the luggage container, and • the actuating element in the holding position is in a dead centre position or above-dead centre position in which inadvertent displacement of the luggage container from its holding position into its mounting/dismounting position is ruled out mechanically, characterised in that the actuating element is a lever arranged on a rear side of the luggage container so as to be pivotable about a vertical axis of the luggage container, which lever is articulated via a transmission lever to a fork-shaped sliding piece, the central arm of which is guided in a direction of displacement by two guides (22, 23), the lever in a folded-in position being in a dead centre position or above-dead centre position. • a luggage container which ∘ has a wall from which ▪ at least two positively-locking elements (9, 12) which are arranged fixedly on the luggage container protrude, and ▪ at least one positively-locking element (14, 15) which is arranged on the luggage container displaceably between a mounting/dismounting position and a holding position, and which ∘ has an actuating means (14, 15, 18 - 20) by means of which the at least one displaceably arranged positively-locking element (14, 15) is displaceable, ∘ has a wall from which ▪ at least two positively-locking elements (9, 12) which are arranged fixedly on the luggage container protrude, and ▪ at least one positively-locking element (14, 15) which is arranged on the luggage container displaceably between a mounting/dismounting position and a holding position, and which ▪ at least two positively-locking elements (9, 12) which are arranged fixedly on the luggage container protrude, and ▪ at least one positively-locking element (14, 15) which is arranged on the luggage container displaceably between a mounting/dismounting position and a holding position, and which ∘ has an actuating means (14, 15, 18 - 20) by means of which the at least one displaceably arranged positively-locking element (14, 15) is displaceable, • a holding means which is fastened to a motorcycle, and which has at least two receptacles (4 - 7) provided for receiving the at least two fixedly arranged positively-locking elements (9 - 12) and at least one receptacle (4, 5) provided for receiving the at least one displaceably arranged positively-locking element (14, 15), • the actuating means (14, 15, 18 - 20) has a manually actuated actuating element, • the actuating element is movable back and forth between a mounting/dismounting position and a holding position, wherein in the mounting/dismounting position it has the function of a carrying handle of the luggage container, and • the actuating element in the holding position is in a dead centre position or above-dead centre position in which inadvertent displacement of the luggage container from its holding position into its mounting/dismounting position is ruled out mechanically,