The invention relates to ammunition for fire and pneumatic smoothbore weapon and can be used for producing bullets for hunting and sporting guns. The inventive method consists in deforming the rear part of a tubular blank in such a way that an aerodynamic empennage is formed and in arranging a core in the front part of said blank. The core is introduced into the tubular blank prior to deforming and is fixed in said blank by deforming the front and rear parts thereof. Deformation is carried out by pressing the blank wall without modifying the thickness thereof. The deformation of the tubular blank can be carried out by longitudinally clamping said blank between two crimping matrixes. Said core is embodied in such a way that an extractor in the form of an aerodynamic needle is formed in the material thereof, the core being inserted when said extractor is disposed outside the internal volume of the blank.