Endoscope having an adjustable illumination direction (60, 62), having: a light waveguide which extends through a shaft to the distal end of the endoscope and which serves for transmitting illumination light, a reflective surface for reflecting illumination light for the illumination of an object observed by means of the endoscope, the reflective surface being displaceable in order to adjust the illumination direction (60, 62), a line of intersection of the displaceable reflective surface with a plane which is parallel to two adjustable illumination directions (60, 62) of the endoscope being convexly curved such that the displaceable reflective surface is convexly curved relative to the spatial region in which the illumination light propagates, furthermore having: a linear guide (81, 82) for guiding the displaceable reflective surface along a straight or curved path, furthermore having: a light exit surface for exposure of the displaceable reflective surface to illumination light, a surface normal of the light exit surface being not parallel to a longitudinal axis of the endoscope and not parallel to a pivot axis of the illumination direction or to a pivot axis of the viewing direction, wherein the light exit surface is a light exit surface of a transparent body for directing or deviating the illumination light, characterized in that the transparent body has a bore in which the distal end of the light waveguide is arranged. a light waveguide which extends through a shaft to the distal end of the endoscope and which serves for transmitting illumination light, a reflective surface for reflecting illumination light for the illumination of an object observed by means of the endoscope, the reflective surface being displaceable in order to adjust the illumination direction (60, 62), a line of intersection of the displaceable reflective surface with a plane which is parallel to two adjustable illumination directions (60, 62) of the endoscope being convexly curved such that the displaceable reflective surface is convexly curved relative to the spatial region in which the illumination light propagates, furthermore having: a linear guide (81, 82) for guiding the displaceable reflective surface along a straight or curved path, a linear guide (81, 82) for guiding the displaceable reflective surface along a straight or curved path, furthermore having: a light exit surface for exposure of the displaceable reflective surface to illumination light, a surface normal of the light exit surface being not parallel to a longitudinal axis of the endoscope and not parallel to a pivot axis of the illumination direction or to a pivot axis of the viewing direction, wherein the light exit surface is a light exit surface of a transparent body for directing or deviating the illumination light, characterized in that the transparent body has a bore in which the distal end of the light waveguide is arranged. a light exit surface for exposure of the displaceable reflective surface to illumination light, a surface normal of the light exit surface being not parallel to a longitudinal axis of the endoscope and not parallel to a pivot axis of the illumination direction or to a pivot axis of the viewing direction, wherein the light exit surface is a light exit surface of a transparent body for directing or deviating the illumination light, characterized in that the transparent body has a bore in which the distal end of the light waveguide is arranged.