Forming tools play a very important role in the production of shaped bolts with the use of plastic forming method. In industrial practice, the technological process of conventional shaping is the cold forming plastic, which causes a considerable wear of shaping tools. Properly designed, constructed and operated tool enables to provide high quality products at a sufficiently high volume of production, low cost, and the required level of security. Consequently, this will allow the company to compete effectively in today's market. The paper shows the numerical analysis of stress prevailing in the die during the implementation of forging of hex internal Allen bolts depending on the size of the applied interference. The research has allowed determining the impact of interference, among others, on the distribution of hoop stress in the die during the manufacturing process of the bolts.