Device for detachably fastening a portable object to a vehicle such as a bicycle or a moped, comprising - a first coupling device, which is fastenable to and/or is at least partially integrated in a component of a vehicle and which comprises a coupling edge and at least one first coupling means, and - a second coupling device, which is fastenable to and/or is at least partially integrated in an object or a component thereof, comprising edge coupling means to connect the second coupling device detachably to the coupling edge, and a second coupling means, which is provided to be detachably coupled with the first coupling means, wherein the coupling devices, are provided to extend in the coupled state, according to an intermediate coupling plane, one opposite the other, and in that the coupling edge and the edge coupling means can be coupled by a relative movement of the coupling devices, according to a first motional direction which is virtually parallel to the said coupling plane and wherein the coupling edge and the edge coupling means are constructed such that the first and the second coupling device are connected to each other in a mutually rotatable manner through the connection of the coupling edge and the edge coupling means, and in that the first and the second coupling means can be coupled through a mutual rotation of the coupling devices, coupled by the coupling edge and the edge coupling means, characterized in that the coupling edge and the edge coupling means are connectable in several relative positions of the coupling devices,, whilst the first and second coupling means are couplable only in one of the said relative coupling positions of the coupling devices,, and in that the coupling edge and/or the edge coupling means comprise positioning means to position the coupling devices, with connected coupling edge and edge coupling means, according to the longitudinal direction of the coupling edge, in the said relative coupling position in which the first and second coupling means are couplable, and wherein the first and second coupling means are provided to be coupled through the realization of a click connection and are provided such that they can be coupled by a coupling movement according to a second motional direction which lies virtually perpendicular to the said coupling plane, such that the coupling of the first and the second coupling means is effected automatically through a mutual rotation of the coupling devices, coupled by the coupling edge and the edge coupling means, wherein virtually perpendicular means that the motional direction can form an angle of no more than approximately 30° with respect to the direction perpendicular to the coupling plane. - a first coupling device, which is fastenable to and/or is at least partially integrated in a component of a vehicle and which comprises a coupling edge and at least one first coupling means, and - a second coupling device, which is fastenable to and/or is at least partially integrated in an object or a component thereof, comprising edge coupling means to connect the second coupling device detachably to the coupling edge, and a second coupling means, which is provided to be detachably coupled with the first coupling means,