When materials are subjected to cyclic plastic loading with nonzero mean stress, strain usually accumulates in the direction of mean stress with an increasing number of cycles. This kind of strain accumulation is called cyclic creep or ratcheting. The phenomenon strongly depends on many factors and its accurate numerical modelling is problematic, especially under non-proportional loading. Two modifications of AbdelKarim-Ohno cyclic plasticity model were proposed for better ratcheting simulations. The developed model was implemented into the commercial FE software ANSYS using a radial return method. In this paper, the model capability is verified on a set of axial/torsional loading paths taken from Chen et al. The model predicts ratcheting strain reasonably well for almost all test cases.