A vehicle headlight to be installed in a vehicle body, the vehicle headlight comprising: a reflector having a spheroidal reflecting surface with a reflector optical axis (AX 2) and a first focus and a second focus through which the reflector optical axis (AX 2) passes, the spheroidal reflecting surface having an elliptical cross section containing the reflector optical axis (AX 2) and the first focus and the second focus and having an eccentricity designed to gradually increase from a vertical cross section thereof to a horizontal cross section thereof; a rotationally asymmetric projection lens having a light emitting surface on a front side and a light incident surface on a rear side and a focus close to the light incident surface, the projection lens being disposed in front of the reflector with the focus disposed at or near the second focus; and a light source disposed at or near the first focus, the light source configured to emit light that is reflected by the reflecting surface, incident on the light incident surface to enter the projection lens, and projected through the light emitting surface of the projection lens, characterized in that the projection lens has an optical axis (AX 1) passing through the focus of the projection lens and extending in a front-to-rear direction of the vehicle headlight and being not coincident with the reflector optical axis (AX 2), and the light emitting surface of the projection lens is configured to be a free curved surface being convex forward, wherein the light emitting surface is configured so that the right side front end is positioned forward of the left side front end or vice versa so that the light emitting surface is inclined with respect to the optical axis (AX 1) of the projector lens, the light incident surface is configured to be a free curved surface being convex toward the light source when viewed in a horizontal cross section of the light emitting surface and a vertical cross section thereof, in which, when a plurality of light beams in parallel to the optical axis (AX 1) of the projection lens is incident on the light emitting surface to enter thereinside, the plurality of light beams exiting through the light incident surface is focused at the focus of the projection lens, the reflecting surface is disposed such that the reflector optical axis (AX 2) of the reflecting surface is inclined with respect to the optical axis (AX 1) of the projection lens by a predetermined angle so that the light emitted from the light source and projected forward through the light emitting surface of the projection lens is made uniform in the right and left directions with respect to the optical axis (AX 1) of the projection lens. a reflector having a spheroidal reflecting surface with a reflector optical axis (AX 2) and a first focus and a second focus through which the reflector optical axis (AX 2) passes, the spheroidal reflecting surface having an elliptical cross section containing the reflector optical axis (AX 2) and the first focus and the second focus and having an eccentricity designed to gradually increase from a vertical cross section thereof to a horizontal cross section thereof; a rotationally asymmetric projection lens having a light emitting surface on a front side and a light incident surface on a rear side and a focus close to the light incident surface, the projection lens being disposed in front of the reflector with the focus disposed at or near the second focus; and a light source disposed at or near the first focus, the light source configured to emit light that is reflected by the reflecting surface, incident on the light incident surface to enter the projection lens, and projected through the light emitting surface of the projection lens, characterized in that the projection lens has an optical axis (AX 1) passing through the focus of the projection lens and extending in a front-to-rear direction of the vehicle headlight and being not coincident with the reflector optical axis (AX 2), and the light emitting surface of the projection lens is configured to be a free curved surface being convex forward, wherein the light emitting surface is configured so that the right side front end is positioned forward of the left side front end or vice versa so that the light emitting surface is inclined with respect to the optical axis (AX 1) of the projector lens, the light incident surface is configured to be a free curved surface being convex toward the light source when viewed in a horizontal cross section of the light emitting surface and a vertical cross section thereof, in which, when a plurality of light beams in parallel to the optical axis (AX 1) of the projection lens is incident on the light emitting surface to enter thereinside, the plurality of light beams exiting through the light incident surface is focused at the focus of the projection lens, the reflecting surface is disposed such that the reflector optical axis (AX 2) of the reflecting surface is inclined with respect to the optical axis (AX 1) of the projection lens by a predetermined angle so that the light emitted from the light source and projected forward through the light emitting surface of the projection lens is made uniform in the right and left directions with respect to the optical axis (AX 1) of the projection lens.