Abstract: A sight mount is provided for securing a telescopic sight to the barrel of a rifle. The sight mount comprises a bracket which clampingly engages the rifle barrel and includes an upper portion having a tongue members which extend parallel to but spaced from the axis of the rifle barrel. A sight adapter is provided to secure the telescopic sight to the bracket and includes elongated channel members which cooperate with the tongue members formed on the upper portion of the bracket so that the telescopic sight may be axially positioned along the rifle barrel. Threaded fasteners provide a means whereby the width between the grooves in the sight adapter may be adjusted so that when proper axial position of the telescopic sight is obtained, tightening the threaded members clamps the sight adapter onto the bracket and compressibly locks the tongue and groove members together thereby prohibiting further axial movement of the sight adapter, and hence the telescopic sight, relative to the rifle barrel.