The results of a numerical analysis of the cross wedge rolling process (CWR) are presented in the paper. The calculations have been made using the commercial finite element programming package MSC.MARC AutoForge. The FEM model has been validated experimentally. The paper is limited only to the analysis of stress state, performed in order to examine the problem of internal cracks. The hypothesis of the longest elongation has been used in order to present the method of determining the moment of the process, when the material cracks. Besides the above, the calculated distributions of stress coefficient are presented. On their basis, the influence of the basic parameters of the CWR process on the possibility of internal cracks arising has been determined.