The wide-angle and wide exit pupil of the display optics in near-eye display systems present a trade-off relationship. An optical design scheme for achieving both wide-angle and large exit-pupil sizes in near-eye display systems is proposed and discussed. For the projector design, several aspherical lenses are co-designed to improve the imaging quality and to reduce the distortion, where the exit pupils in YZ and XZ plane are separated to expand the exit pupil in one direction and increase the optical length from the projector to the exit pupil. To validate this optimization design method, a near-eye display system with full-color, a field of view of 53.6°, an exit pupil distance of 30mm, and an exit pupil diameter of 8mm is achieved. The optimized design method of the near-eye display optics provides a technical reference for the realization of wide-field near-eye display systems.