Abstract: On the basis of theory of ternary essential circuits elements, this paper presents a theory of ternary dynamic and static generalized sequential machine, which is applicable to static circuits as well as dynamic circuits. As regards static circuits, several ternary flip-flops perfect characteristic equations are proved to describe its action at all times, instead of its traditional characteristic equations, in order to unify the theory of temary sychronous and asychronous sequential circuits. As regards dynamic circuits, this paper uses capacitors, instead of ternary flip-flops, to memorize ternary informations for the realization of ternary dynamic circuits, especially ternary sychronous dynamic sequential circuit without flip-flops, because the difference between dynamic circuit and static circuit is mainly its load property. The theory of ternary essential circuit elements is a very useful means for unifying sequential circuit theory between static circuits and dynamic circuits, and between ternary sychronous and asychronous sequential circuits.