The dynamical propertiesof two spatially coupled, non-identical solid state lasers are analyzed. When both of thelasers are pump-modulated with different losses, the output intensities of the two lasersshow periodic motion, chaotic motion, chaotic synchronization and loss of synchronization.The occurrence of synchronization of chaotic lasers is related to the coupling between thetwo lasers. When the coupling is strong, the periodic motion occurs. For intermediatecoupling, there appears chaotic motion. Chaotic synchronization may occur under certaincondition. When the coupling is weak, the two lasers oscillate almost independently.