The disclosure relates to spin-stabilized ammunition for use in grooved or smooth bore handheld firearms with calibers up to 60 mm. The projectile of the ammunition features: a body in the shape of a truncated cone at the top of a cylinder with proportions of the cone length to the cylinder length varying between from one-to-six to one-to-three depending on the expected initial speed of the projectile after the ammunition has been discharged; a central longitudinal barrel through the projectile with a proportion of the entrance diameter and exit diameter of 1.38-to-one for expected discharge speeds near sound velocity or of 1.22-to-one for expected discharge of hypersonic velocities; nozzles for the creation of a spinning motion of the ammunition around the projectile's axis, the nozzle being located between cavities for propellant charges.