Symbolic Model Checking is one of the most efficient formal verification methods for hardware design. It uses Computational Tree Logic (CTL) for expressing formal specification of hardware design. However, the large demands of space by Symbolic Model Checking prevents itself from verifying large automates. In this paper we study the possibility of hierarchy evaluation of CTL formula. The result shows that CTL specifications for whole automata can be decomposed into local properties in some case, each of them can be verified on different subautomates respectively. By this way symbolic model checking can be completed hierarchically, which enable us to handle much larger circuits without a large growth of complexity.