Abstract: Many design criteria mint be considered in the deaign of composite materials of strctures; amnog them the displacement, stability and vibration are considered in thin paper. The def lection, buckling stress and natural frequency of laminated circular cylindrcial shells wihtriber reinforced composite materials are discussed in detail. The shells are assumed to be simply supported at two ends,each layer of the shells is having the thickness h and an equal number of fibers of the same material in the +α: and -α: directions with the x-axis in the same type of matrix.