Based on the bydrodynamio model the reflectance behavior of the TE waves on the metallic superlattioes is discussed by making use of the transfei matrix method, and the analytic formula of the reflectivity is presented in the case of ω>ωp. The interesting numerical results is shown for the special model of AB and ACBC structures, which provides an available new ways for studying and making of soft X-rays and extreme ultraviolet reflectors.