Illumination device for a motor vehicle headlamp, comprising: - at least one light module, the light module comprising a luminous means and a collimator assigned to the luminous means, the luminous means generating light and coupling it into the collimator, the collimator being set up so that the light generated by the luminous means emerges as a divergent light beam in a light propagation direction via a light exit surface of the collimator, - an optical element, which is arranged downstream of the collimator in the light propagation direction, having a light input surface and a light output surface, the light which emerges from the collimator being incident on the light input surface of the optical element, and is guided through the optical element to the light output surface of the optical element, and emerges from the optical element at the light output surface, wherein the light input surface of the optical element has a Fresnel optic, the Fresnel optics being set up to refract the light beams as they enter the optical element in such a way that the light beams propagate parallel to one another within the optical element, the light output coupling surface of the optical element having a multiplicity of optical elements, each optical element being in each case designed and set up in such a way that the light emerges from each optical element as a, preferably divergent, light bundle characterized in that the light exit surface of the collimator is formed by a plurality of lenses which are preferably arranged in a uniform grid on the entire light exit surface of the collimator, each lens being arranged to divergently radiate the light of the illuminant onto the light input surface of the optical element such that each of the plurality of lenses respectively illuminates the light input surface of the optical element, all of the lenses having substantially the same focal length, wherein the collimator and the optical element are spaced apart from each other, the spacing corresponding substantially to the focal length of the lenses. - at least one light module, the light module comprising a luminous means and a collimator assigned to the luminous means, the luminous means generating light and coupling it into the collimator, the collimator being set up so that the light generated by the luminous means emerges as a divergent light beam in a light propagation direction via a light exit surface of the collimator, - an optical element, which is arranged downstream of the collimator in the light propagation direction, having a light input surface and a light output surface, the light which emerges from the collimator being incident on the light input surface of the optical element, and is guided through the optical element to the light output surface of the optical element, and emerges from the optical element at the light output surface, wherein the light input surface of the optical element has a Fresnel optic, the Fresnel optics being set up to refract the light beams as they enter the optical element in such a way that the light beams propagate parallel to one another within the optical element, the light output coupling surface of the optical element having a multiplicity of optical elements, each optical element being in each case designed and set up in such a way that the light emerges from each optical element as a, preferably divergent, light bundle