A holder for mounting a shelf on an infusion stand of a medical device, for example, a dialysis machine, has a surface element that is connectable to the infusion stand, a shelf carrier that is integral with an outer edge of the surface element, and a holder supporting element. With this holder, a shelf surface for utilitarian objects on the dialysis machine is made available to the user. A shelf which is to be fastened on the infusion stand is necessary in particular with dialysis machines whose display screen in not integrated into the machine housing but instead is attached to the infusion stand. The surface of the machine in this case can no longer be used as a shelf surface. The holder can be mounted and removed easily without the assistance of tools.