The process of the outer-upset tubing ends production by hydraulic presses or horizontal forging machines has been described in the article. In the study the FE mathematical model of the deformation zone, which allows to evaluate die’s loads depending upon the process conditions. Using the FE model of the deformation zone of the pipe ends outer upset process components of stresses, normal pressure and temperature values on the die surface were found. The analysis of data was carried out and some recommendations to rational running of the outer upset of tubing ends was given.