In order to meet the requirements of the virtual reality head-mounted display with large field of view, large exit pupil, and high imaging quality, a three-piece virtual reality head-mounted display optical system was designed using aspheric lenses, and the tolerance analysis of the optical system was carried out.The results show that the average modulation transfer function (MTF) value of the optical system meets the transfer function requirements. The field of view of the system is 90°, the exit pupil diameter is 8mm, the system weight is 33.67g, the total length is less than 60mm, the MTF value at 9.31lp/mm is better than 0.272, the maximum distortion is 8.17%, and the maximum vertical chromatic aberration is 36.2μm that less than a pixel size, respectively. Compared with the literature, the field of view, exit pupil diameter, and exit pupil distance is respectively increased, and the imaging quality is improved. This study can provide a reference for the optical design of immersive head-mounted displays.