Abstract: Based on Lyapunov stabilization theory and Gerschgorin theory,a simple criterion for global chaos synchronization is proposed to the Genesio-Tesi system.The error system is globally asympotical stable with selection of proper coupling parameters,and simulated with a Mathematical software.Both theoretical analysis and simulation result show the effectiveness for this method and it is also proved that the synchronization is ensured by suitably designing the coupling parameters.