In this paper the parameter identification procedure of a material model for large multi-axial ratcheting strains, as proposed in [Johansson G, Ekh M, Runesson K. Computational modelling of inelastic large ratcheting strains. Int J Plast 2005;20:955-80], is demonstrated. In particular, experimental data for uni-axial and bi-axial ratcheting of carbon steel are considered. The bi-axial experimental data are from [Jiang Y, Sehitoglu H. Cyclic ratcheting of 1070 steel under multiaxial stress states. Int J Plast 1994;10:579-608]. The material parameters are identified by means of optimization algorithms, and a sensitivity analysis is performed.