Abstract: A Cellular Nonlinear Network (CNN) model of the growth of tumor and immune surveillance against caner(GLSAC) is proposed. Using the analytical criteria for CNN with four state variables and three ports studies the bifurcation diagrams. Numerical simulations exhibit the processes of diffusing and clearing of cancer cells in organs and complex behaviors of the SISAC CNNs. It seems that the existences of immune surveillance defects in organs may arise the transfering and diffusing of canner cells.