Illumination device for a motor vehicle headlamp, comprising - a light-conducting primary optical element arranged in the main radiation direction of a first illuminant, which primary optical element has, on a side facing the first illuminant, a light coupling-in surface for coupling light beams into the primary optical element, on a side facing away from the first illuminating means, a light coupling-out surface and a shell surface extending between the light coupling-in surface and the light coupling-out surface, on which shell surface the coupled-in light is redirectable by total reflection in the direction of the light coupling-out surface of the primary optical element, - a secondary optical element arranged downstream of the light output coupling surface of the primary optical element in the light emission direction, which secondary optical element has a light input coupling surface on a side facing the light output coupling surface of the primary optical element and a light output coupling surface on a side facing away from the primary optical element, which light output coupling surface is of convex design, and - a reflector (400, 410, 420) arranged downstream of the light outcoupling surface of the secondary optical element in the light emission direction and provided for generating a light distribution or a partial light distribution of a light function, wherein the secondary optical element is arranged to direct the light rays emitted by the first illuminant, which reach the light decoupling surface of the secondary optical element, onto the reflector (400, 410, 420) during decoupling by means of refraction or to allow them to pass without a change in direction, characterized in that in the main radiation direction of the first illuminant in front of the light coupling surface of the primary optical element an attachment optics is arranged, which is configured to focus the light beams emitted by the first illuminant onto a point, wherein the secondary optical element is formed as part of a sphere with a spherical center, wherein the reflective shell surface of the primary optical element comprises a hyperbolically shaped region having a focal point and a virtual focal point, the hyperbolically shaped region allowing light rays entering through the light input surface of the primary optics element to be redirected toward the light output surface of the primary optics element, wherein the focal point of the hyperbolically shaped region of the primary optical element and the sphere center lie in one point, and wherein the attachment optics is adapted to focus the light rays of the first illuminant onto the virtual focal point of the hyperbolically shaped region of the primary optic element. - a light-conducting primary optical element arranged in the main radiation direction of a first illuminant, which primary optical element has, on a side facing the first illuminant, a light coupling-in surface for coupling light beams into the primary optical element, on a side facing away from the first illuminating means, a light coupling-out surface and a shell surface extending between the light coupling-in surface and the light coupling-out surface, on which shell surface the coupled-in light is redirectable by total reflection in the direction of the light coupling-out surface of the primary optical element, - a secondary optical element arranged downstream of the light output coupling surface of the primary optical element in the light emission direction, which secondary optical element has a light input coupling surface on a side facing the light output coupling surface of the primary optical element and a light output coupling surface on a side facing away from the primary optical element, which light output coupling surface is of convex design, and - a reflector (400, 410, 420) arranged downstream of the light outcoupling surface of the secondary optical element in the light emission direction and provided for generating a light distribution or a partial light distribution of a light function, wherein the secondary optical element is arranged to direct the light rays emitted by the first illuminant, which reach the light decoupling surface of the secondary optical element, onto the reflector (400, 410, 420) during decoupling by means of refraction or to allow them to pass without a change in direction, characterized in that in the main radiation direction of the first illuminant in front of the light coupling surface of the primary optical element an attachment optics is arranged, which is configured to focus the light beams emitted by the first illuminant onto a point, wherein the secondary optical element is formed as part of a sphere with a spherical center, wherein the reflective shell surface of the primary optical element comprises a hyperbolically shaped region having a focal point and a virtual focal point, the hyperbolically shaped region allowing light rays entering through the light input surface of the primary optics element to be redirected toward the light output surface of the primary optics element, wherein the focal point of the hyperbolically shaped region of the primary optical element and the sphere center lie in one point, and wherein the attachment optics is adapted to focus the light rays of the first illuminant onto the virtual focal point of the hyperbolically shaped region of the primary optic element.