The present invention relates to an optical position-measuring device for generating a plurality of phase-shifted scanning signals regarding the relative position of a fiber optic scanning head and a reflection measuring standard movable relative thereto in at least one measuring direction. In the fiber optic scanning head, a scanning reticle is disposed before the measuring standard end of an optical fiber. The scanning signals are coded in a wavelength-dependent manner. To this end, a beam incident on the scanning reticle is split into at least two sub-beams which strike the reflection measuring standard and are subsequently recombined to interfere with each other so as to generate the phase-shifted scanning signals. The sub-beams travel different optical path lengths between splitting and recombination.