Abstract: Considering the characters of fellow forces, the generalized Hamilton-type quasi-complementary energy principle, that is applicable to thin-wall structure of non-conservative system, can be obtained adopting the zero-addition transformation method and the variational integral method. Appling this principle to the torsion dynamics problem of non-conservative thin-wall structural system, this paper develops the method that can calculate both the shear force and the rotation simultaneously. Finally some correlative problems are discussed.