Synchronization　behavior　of　coupled　dynamical　systems　is　discussed.　An　equivalence　relation　is　found　between　the　diffeomorphic　generalized　synchronization　and　the　complete　synchronization　of　coupled　nonidentical　systems.　Employing　the　method　of　the　complete　synchronization,　the　problem　of　the　generalized　synchronization　can　be　unraveled.　By　constructing　an　appropriate　coupling　term,　a　sufficient　condition　is　obtained　for　determining　the　complete　synchronization　of　coupled　nonidentical　systems.　Numerical　simulations　are　also　given　to　show　the　effectiveness　of　the　proposed　schemes.