A fastening locking system for containers on an attachment device having attachment points includes correspond receiving elements arranged on a container and detachably fasten the container to the carrier in a defined position by means of at least one lower guide element attached on the rear side of the container and by means of two upper receiving elements attached to the rear side of container, wherein the two receiving elements attached in the upper region to the rear side of the container are arranged along an arc path and each have a continuous guide groove, following the arc path, and include a projection for receiving a mushroom-shaped attachment means, which is arranged on the luggage carrier, wherein each receiving element is equipped with a spring-loaded tilting lever mounted for rotation about an axis and one end of each tilting lever extends in the direction of the top edge of the bag or container and the other beveled end oriented in one direction extends into the guide groove with the projection of the receiving element and can be displaced only in one direction against the spring force by means of a mushroom-shaped attachment means that can be pushed through.