To enable a simple mounting and alignment of an optoelectronic measuring device in its operating position, a fastening system is provided for fastening the optoelectronic measuring device. The fastening system includes a fastening section provided at a surface of a housing of the measuring device. An adjustment adapter has a first element for connection to the fastening section and is provided for the alignment of the measuring device in the operating position. The fastening section rises from the surface of the housing and forms a platform having a groove and a latch cutout at at least one side located perpendicular to the surface of the housing. The first element of the adjustment adapter has a tongue element formed with shape matching the groove and a latching protrusion formed with shape matching the latch cutout. The fastening section and the adjustment adapter are latchinigly connectable to one another without tools.