An automatically movable cleaning device, in particular an electric-motor-driven vacuuming and/or wiping robot, comprising a distance-measuring device for measuring the distance of the cleaning device from an object, wherein the distance-measuring device has an optical triangulation system, which has a light source, an optical filter, and a detector, which are arranged in such a way that light in a propagation direction, emitted by the light source, is first scattered by the object, wherein at least a portion of the scattered light is then spectrally filtered by means of the optical filter and wherein the filtered light is finally detected by the detector. For advantageous development, the optical filter according to the invention is a band-stop filter having a reflectivity of at least 90% with respect to at least one wavelength of the scattered light, and/or the optical filter is a band-pass filter, a reflector being arranged after the band-pass filter in the transmission direction, and/or the optical filter is a cut-off filter having a reflectivity of at least 90% with respect to at least one wavelength of the scattered light.