Abstract: It is proved mathematically in this paper that the strain-stress function F(ξ φ) on the cylindrical shell theory suggested by Vlasov [5] will give out the general solution of the simultaneous partial differential equations of cylindrical shell problem. That is to say. there is no any solution Of the simultaneous partial differential equations can be omitted due to Vlasov's suggestion. The conclusion suggested in this paper is helpful to the well-known Vlasov's method.