The present invention relates to a conical wedge-shaped lensed fiber and the method of making the same. The method comprises: (a) providing an optical fiber having a central axis and an end; (b) machining the end of the optical fiber to form a flat end face; (c) machining the end of the optical fiber to form a conical region; (d) machining one side of the conical region to form a flat first surface; (e) machining another side of the conical region to form a flat third surface, wherein the first surface and the third surface intersect at a intersecting line that is perpendicular to the central axis; and (f) fusing the intersecting line to form a lens. The method has simplified fabricating processes and need not to set up any particular angle of rotation of the fiber. Therefore, the fabricating time and cost are reduced, and the coupling efficiency of the lensed fiber is up to 90%.