The influence of Tvergaard's parameters qi of Gurson-Tvergaard-Needleman (GTN) material model on S235JR steel response was considered in the study. The analysis concerns the strength curves simulated numerically for notched tensile elements under static tension in complex stress state defined by high initial stress triaxiality σm/σe > 1. Typical and material-dependent values of Tvergaard's parameters qi were examined. The influence of the Tvergaard's parameters qi on material response was noticed at the failure range for S235JR steel in the case of high stress triaxiality.