The present invention relates to a field-emission display having a faceplate formed with a phosphor layer and means irradiating an electron beam onto the phosphor layer in order to improve the characteristic of life of the device. The feature of the present invention is in the structure of a phosphor layer. The phosphor layer is expressed by a general formula: ZnS: M, Al where M is an activator of at least one of Cu, Ag and Au; and Al is a coactivator, in which the concentration of Al is higher than that of M. According to the present invention, the electrification characteristic of the phosphor is improved for lower resistance. The defect concentration of the surface of the phosphor is reduced. The filed-emission display which can realize improvement in the characteristic of life which has not been solved in the prior art can be made.