The dynamics for a forced dissipative nonlinear critical layer is first dealt with, attaining an analytical solution of such a layer, which suggests that under the forced dissipation, a Kelvin cat′s eye emerges in the layer and the eye tends to be in a steady state as time goes on and the dissipative factor has innegligible modifying effects on a vorticity field as the Kelvin cat′s eye excited in the cirtical layer.