In this paper, a flexible curved holographic grating is fabricated by wrapping a polymer dispersed liquid crystal film in a polyethylene terephthalate (PET) film with a fixed radius of curvature, and using plane wave interference holographic technology.The article studies the diffraction and reproduction characteristics of flexible curved holographic gratings.The article use the microelement method and coupled wave theory to derive the diffraction characteristic formula of the curved flexible grating when the curvature changes.A flexible holographic grating with a cylindrical wave to reproduce the curvature change is proposed to achieve the best reproduction of the diffraction effect. The paper deduces the relevant technical parameters, such as the focal position of the cylindrical wave, the focal length of the cylindrical lens and the relationship between the lateral magnification of diffraction and so on. A flexible grating with a central diffraction efficiency of 88% was prepared under the conditions of an exposure time of 70 s and an exposure intensity of 30 mW/ cm2. The experiment achieved the theoretically calculated lateral magnification characteristics by changing the radius of curvature of the flexible grating and using cylindrical wave reproduction.