Optical device for a motor vehicle headlight, the device comprising: - a primary optical device having a base body and having a plurality of light guide bodies projecting from the base body for forming a desired light distribution from the light from light sources, which light guide bodies each have a light input surface into which light from light sources can be fed and a light output surface, - a holder on which the base body of the primary optics is arranged on a front side of the holder, wherein the light guide bodies of the primary optics pass through the holder through an opening portion of the holder, and - a cover element, which is arranged on a rear side of the holder facing away from the base body of the primary optics, the cover element having a number of openings corresponding to the number of light guide bodies and corresponding to the light guide bodies, which openings are arranged in such a way that to receive and hold in position the light guide bodies of the primary optics, wherein the cover element can be connected to the holder by means of at least one first engagement element arranged on the cover element, which first engagement element engages at least one second engagement element arranged on the holder characterized in that said at least one second engaging member is formed as a projection projecting from said holder and having an engaging portion which has a height extending away from said holder and a width, and an end portion which has a height and a width, wherein the width of said engaging portion is smaller than the width of said end portion and wherein the at least one first engagement element is formed as a guide recess in the cover element, the guide recess having a first region and a second region which is tapered in comparison to the first region which second region extends along a slide-on direction and has a width extending transversely to the slide-on direction, the projection being insertable into the first region of the guide recess and being displaceable within the guide recess in such a manner so that the second region of the guide recess can be pushed onto the engagement portion of the projection by means of a displacement of the cover element in the push-on direction, wherein the width of the engagement portion is only slightly smaller than the width of the second region of the guide recess in order to prevent a displacement of the cover element transversely to the push-on direction. - a primary optical device having a base body and having a plurality of light guide bodies projecting from the base body for forming a desired light distribution from the light from light sources, which light guide bodies each have a light input surface into which light from light sources can be fed and a light output surface, - a holder on which the base body of the primary optics is arranged on a front side of the holder, wherein the light guide bodies of the primary optics pass through the holder through an opening portion of the holder, and - a cover element, which is arranged on a rear side of the holder facing away from the base body of the primary optics, the cover element having a number of openings corresponding to the number of light guide bodies and corresponding to the light guide bodies, which openings are arranged in such a way that to receive and hold in position the light guide bodies of the primary optics, wherein the cover element can be connected to the holder by means of at least one first engagement element arranged on the cover element, which first engagement element engages at least one second engagement element arranged on the holder said at least one second engaging member is formed as a projection projecting from said holder and having an engaging portion which has a height extending away from said holder and a width, and an end portion which has a height and a width, wherein the width of said engaging portion is smaller than the width of said end portion and wherein the at least one first engagement element is formed as a guide recess in the cover element, the guide recess having a first region and a second region which is tapered in comparison to the first region which second region extends along a slide-on direction and has a width extending transversely to the slide-on direction, the projection being insertable into the first region of the guide recess and being displaceable within the guide recess in such a manner so that the second region of the guide recess can be pushed onto the engagement portion of the projection by means of a displacement of the cover element in the push-on direction, wherein the width of the engagement portion is only slightly smaller than the width of the second region of the guide recess in order to prevent a displacement of the cover element transversely to the push-on direction.