In relative legal and subordinate legislation acts which regulate the issue of hunting (the hunt) the kill of the big game is predicted as a measure of managing. The law on hunting allows the kill of the big game with fluted barrel rifles using as ammunition a bullet constructed for the performance of hunt, whose energy, calibre and mass are appropriate for the strength and the resistance of the game. The aim of the thesis is to show the mechanism of the effect that a bullet has on the body of the big game, that is, the development of the constructions of the bullet and to suggest the choice of the bullet for the effective discharging of the game. There are different constructions of the bullet shown in the thesis which are used for the kill of the big game as well as their application in the practice. That is compared to their efficacy in relation to the declared characteristics of the producers, that is, to the experience of other authors. In this process, the testing of the bullets in ballistic gelatine have been giving completely different results in relation to the real kill of the game. Monolithic constructions of the bullet , based on the ABC construction of the bullet, have given the best results in the kill of the game, with regard to the desired fast ending and the minimal damage of the game alike, with the negligible appearance of haematoma, regardless of the type of the game. As the main conclusion we point out that modern constructions of the high velocity bullets are not always in possibility to completely perform the expected aim, that is to say, momentary end of the game.