Optical position measuring device for producing a plurality of phase-shifted scanning signals with respect to the relative position of a fibre-optic scanning head (20; 120; 220; 320) and a reflection standard (10; 110; 210; 310) which is movable with respect thereto in at least one measuring direction, wherein a scanning plate (21; 121; 221; 321) is arranged in the fibre-optic scanning head (20; 120; 220; 320) in front of the standard-side end of an optical fibre (30; 130; 230; 330) and wavelength-dependent coding of the phase-shifted scanning signals is effected by way of producing the phase-shifted scanning signals from components of the illumination spectrum having different wavelengths, wherein the scanning plate (21; 121; 221; 321) is embodied such that - a beam that is incident on the scanning plate (21; 121; 221; 321) is split into at least two partial beams, which impinge on the reflection standard (10; 110; 210; 310) and are subsequently recombined and interfere with one another to produce the phase-shifted scanning signals, and - the partial beams travel different optical path lengths between the splitting and the recombination, wherein - arranged at the end of the optical fibre (30; 130; 230; 330) that is remote from the standard are - a spectrally broadband light source or - a plurality of light sources that emit radiation of different wavelengths, the radiation of which is able to be coupled into the optical fibre (30; 130; 230; 330) as an illumination beam via an input coupling means and - arranged at the end of the optical fibre (30; 130; 230; 330) that is remote from the standard is a detector device, which comprises - splitting means for the wavelength-dependent separation of the recombined partial beams and - a plurality of optoelectronic detector elements, to which the separated partial beams may be guided and which convert the detected partial beams into electrical, phase-shifted scanning signals. - a beam that is incident on the scanning plate (21; 121; 221; 321) is split into at least two partial beams, which impinge on the reflection standard (10; 110; 210; 310) and are subsequently recombined and interfere with one another to produce the phase-shifted scanning signals, and - the partial beams travel different optical path lengths between the splitting and the recombination, wherein - arranged at the end of the optical fibre (30; 130; 230; 330) that is remote from the standard are - a spectrally broadband light source or - a plurality of light sources that emit radiation of different wavelengths, the radiation of which is able to be coupled into the optical fibre (30; 130; 230; 330) as an illumination beam via an input coupling means and - a spectrally broadband light source or - a plurality of light sources that emit radiation of different wavelengths, - arranged at the end of the optical fibre (30; 130; 230; 330) that is remote from the standard is a detector device, which comprises - splitting means for the wavelength-dependent separation of the recombined partial beams and - a plurality of optoelectronic detector elements, to which the separated partial beams may be guided and which convert the detected partial beams into electrical, phase-shifted scanning signals. - splitting means for the wavelength-dependent separation of the recombined partial beams and - a plurality of optoelectronic detector elements, to which the separated partial beams may be guided and which convert the detected partial beams into electrical, phase-shifted scanning signals.