Based on a 7-element lens, a refractive lens system and a 5-element hybrid refractive-diffractive lens system are designed. The optimization procedure and the performance of the systems are presented in detail. The systems are desigzned for a 1.3 inch (～3.3 cm) liquid crystal display (LCD) with 56° field of view, 10 mm exit pupil diameter and 25 mm eye relief. The refractive projection system has a 28 mm diameter and 33 g weight. And the hybrid refractive-diffractive system has a 22.4 mm diameter and 11.9 g weight only. The maximum distortions of the two systems are less than 3.2% and 0.17%, respectively. Both the refractive and the hybrid refractive-diffractive system can display SXGA mode images, act as projection system of head-mounted projective displays (HMPDs) in the fields of medical collaborative environments, medical visualization for training, soldier equipped with digital system, and so on.