A synchronization state can be observed in coupled circuits. Furthermore, an interesting synchronization state was confirmed in coupled time-delayed chaotic circuits. In this study, we propose novel coupled systems and investigate the synchronization state in coupled time-delayed chaotic circuits. The proposed coupling methods of time-delayed chaotic circuits depend on the attractor type. We focus on the relationships between the synchronization state and the coupling method. Moreover, we investigate the special coupling methods of time-delayed circuits in this study.