A model following control system (MFCS) can output general signals following the desired ones. In this paper, a method of nonlinear MFCS will be extended to be a nonlinear descriptor system in discrete time. The nonlinear system studied in this paper has the property of norm constraint ||f(v(k))||≤α+β||v(k)||γ, where α≥0, β≥0 , 0≤γ<1. In this case, a new criterion is proposed to ensure the internal states be stable.