Lighting device for a motor vehicle headlamp, which lighting device comprises the following - at least one first light module for generating a light distribution having at least one first and one second light source (110, 120), the first light source being set up to emit light in a first emission direction, and the second light source being set up to emit light in a second emission direction, the first and the second emission directions (X1, X2) enclosing an angle greater than zero degrees with respect to one another, - a beam diaphragm, wherein the beam diaphragm comprises an optically relevant diaphragm edge for generating a cut-off line, wherein the first light module is arranged at an upper side of the beam diaphragm and cooperates in combination with the optically relevant diaphragm edge of the beam diaphragm for generating a light distribution, - a projection lens with an optical axis, which is set up to project the light which can be generated by the first light module in front of the illumination device, the projection lens being designed as a Fresnel lens, which Fresnel lens comprises a base body and a plurality of annular steps arranged on the base body, which steps are arranged essentially concentrically with respect to one another, wherein each step has a main surface for projecting the light beams of the at least one light module in front of the illumination device and a gradient surface extending from the base body to the main surface, wherein the gradient surface includes a gradient angle to the optical axis, and wherein the main surface and the gradient surface form a stepped edge in a common surface intersection line, characterized in that the angle of inclination varies continuously along the annular circumference of a stepped edge. - at least one first light module for generating a light distribution having at least one first and one second light source (110, 120), the first light source being set up to emit light in a first emission direction, and the second light source being set up to emit light in a second emission direction, the first and the second emission directions (X1, X2) enclosing an angle greater than zero degrees with respect to one another, - a beam diaphragm, wherein the beam diaphragm comprises an optically relevant diaphragm edge for generating a cut-off line, wherein the first light module is arranged at an upper side of the beam diaphragm and cooperates in combination with the optically relevant diaphragm edge of the beam diaphragm for generating a light distribution, - a projection lens with an optical axis, which is set up to project the light which can be generated by the first light module in front of the illumination device, the projection lens being designed as a Fresnel lens, which Fresnel lens comprises a base body and a plurality of annular steps arranged on the base body, which steps are arranged essentially concentrically with respect to one another, wherein each step has a main surface for projecting the light beams of the at least one light module in front of the illumination device and a gradient surface extending from the base body to the main surface, wherein the gradient surface includes a gradient angle to the optical axis, and wherein the main surface and the gradient surface form a stepped edge in a common surface intersection line,