Based on two different cyclic plasticity models, fatigue crack growth for 16MnR steel specimens is simulated by using the same multi-axial fatigue damage criterion. The first plasticity model is the Jiang and Sehitoglu model and the second plasticity model is the simple nonlinear kinematic hardening model. The elastic-plastic stress-strain field near the crack tip is obtained respectively by using the two plasticity models. According to the same fatigue criterion, different fatigue damage near the crack tip is determined on the basis of stress-strain responses. The first plasticity model can accurately capture cyclic plasticity deformation behavior and predictions of fatigue crack growth rate are in agreement with the experimental results. However, lots of material constants in the model need to be fitted and more experimental tests should be conducted. The second plasticity model is very simple. The parameters of the model can be acquired easily by uniaxial fatigue tests. Compared with experimental data, the prediction results of fatigue crack growth rate lead to some errors by adopting the second plasticity model.