A water-entry projectile capable of supercavitation and spin-stabilization comprises a forward section having one or more forward stepped sections, each stepped section being symmetrical in rotation about an axis and having a radius at an aft end that is different from a radius of a front end of an adjacent rearwardly located stepped section; an aft section having an aft stepped section, the aft stepped section being symmetrical in rotation about the axis and having a maximum radius larger than a maximum radius of the forward section; and wherein the aft section is located substantially aft of a center of gravity of the projectile.