A pair of cascade lenses, a Fourier-transform lens and an imaging lens, is the key component in a volume holographic data-storage system (HDSS) for writing in and reading out the information in holographic recording material respectively. For a high-density holographic data-storage system, performances of these lenses are critical. In order to obtain precise input and output information, and reduce the bit-error rate in the retrieved data, the accurate pixel matching between the whole high-resolution page of SLM and CCD must be ensured. To meet these requirements, in this paper the design of this lens is discussed in detail. In this paper we designed the lenses of unsymmetrical structure and compact profile, and the maximal image distortion of the lens less than 0.01%, and the MTF value at the spatial frequency 40 LP/mm greater than 0.5 over the whole view-field. Other aberrations such as spherical aberration, field curvature, comatic were well corrected. The lens can realize pixel matching between 1024x768 of SLM and CCD. Furthermore, the effect of the manufacture accuracy of the lens on its image quality was analyzed, based on which the optimum parameters and manufacture/assembly tolerance are given.