The modular aiming device comprises an elongated laser module operatively linked to a rechargeable power pack module. Rigid, quick-release clamps permit the hunter to mount the device alternatively upon an existing dove-tail scope mount or upon a pre-mounted optical telescope sight. A plurality of adjustable, padded scope rings may be employed to axially engage telescope sights of different diameters. A laser emitter diode is anchored within a tubular sleeve axially, adjustably disposed within the rigid laser housing. The laser sleeve comprises an asymmetrically planned, tubular, internally threaded shaft. Screw-driven, spring-biased, angular wedges associated with the sleeve cooperate with resilient flat springs to provide precision elevation and windage adjustments. Thumbscrew adjustments functioning as worm gears drive the wedges to tilt the laser sleeve horizontally and vertically relative to the laser housing. Each thumbscrew is biased by a tension spring which generates an audible click in response to fractional turning of the adjustment thumbscrew.