The negative differential resistance (NDR) characteristic equation of single electron transistor and metal oxide semiconductor (SETMOS) hybrid structure is simplified by a fitting method. And a new approach to designing multi-scroll chaotic circuit with SETMOS is proposed. The effect of NDR characteristic on the equilibrium point of multi-scroll Chua’s circuit is analyzed both qualitatively and quantitatively. The results show that the unidirectional motions of radial contract and axial tension occur in the negative sections of multi-scroll Chua’s circuit, whereas in the positive sections appear the scroll motions of radial tension and axial contract. The result provides theoretical basis for the construction of multi-scroll chaotic circuits and the further study of their complex dynamical behaviors.