Based on the two-dimensional coupled-wave theory, the wave-front conversion by local volume holographic grating between cylindrical and plane waves in 90° recording geometry is investigated. The analytical integral solutions for the amplitude the transmissive and diffractive waves are presented. Furthermore, the dependences of grating diffraction efficiency on the geometric size of the grating and the focal length of the holographic lens are discussed. It is shown that, with the increase of the horizontal direction size of the grating, the diffraction efficiency of holographic grating increases. But with the increase of the size of the grating in the vertical direction, the diffraction efficiency of holographic grating decreases. The diffraction efficiency increases with the rise of the focal length of holographic lens. Furthermore the Bragg selectivity of the grating is studied, and excellent angle selectivity is proved. It is suggested that for the diffraction efficiency optimization of the holographic grating recorded by plane and cylindrical waves the recording cylindrical wave and the geometrical dimension of the grating should be carefully designed according to the request.