The disclosed Invention is that of a rifle rest, comprised of a rocking base formed by first and second generally arc shaped members, each having a generally convex bottom surface adapted for rocking motion, joined together in a generally parallel spaced relationship by cross-members or blocks at either end of the generally arc-shaped members, and including grips or supports attached to these cross-members or blocks, upon which grips or supports the rifle rests, in a generally horizontal position. The Invention is mechanically simple, lightweight and portable, easily attached to any rifle, is highly stable when shooting, and is easily re-aligned with any available target, in either the vertical plane by the rocking motion mentioned above, or by swinging the Invention laterally in the horizontal plane upon its curved base, in the manner of a gun turret.