Abstract: The complex dynamics characters of coupled Logistic map are studied.By the phase portrait and the global bifurcation diagrams,the chaos forming process of the system is studied under the presented system parameters.The nonlinear dynamical activities under the presented system parameters are obtained by the largest Lyapunov exponents and Feigenbaum constants.The chaos of the system is controlled by OGY method.And the steady orbit of the system under controlling is obtained.

Key words: coupled Logistic map, chaos, the largest Lyapunov exponent, bifurcation diagrams, Feigenbaum constants；OGY chaotic controll