Lens with tunable focal length play an important roles in imaging, sensing and detection. In this paper, by studying the polarization characteristics of liquid crystal polarization lenses (LCPL), a zoom system that realizes multi-point zoom through a combination of multiple LCPL is designed. LCPL is an optical element that utilizes a specific spatial arrangement of liquid crystal molecular directors (Optical anisotropy axes) to produce a specific geometric phase difference to control wavefront. For left/right circularly polarized light, LCPL is equivalent to a positive/negative lens. By using the polarization characteristics of LCPL and the electro-optic characteristics of liquid crystal, a liquid crystal polarization zoom lens system consisting of a common positive lens, a liquid crystal wave plate and two LCPLs is designed. The system can achieve zooming of 7 focal lengths under circularly polarized incident light. At the same time, by optimizing the parameters of the LCPLs (such as focal length, spacing, etc.), the system can achieve effects such as equal interval zoom. The experimental results show that under the 633 nm circularly polarized light, the liquid crystal polarization zoom lens combining system (composed of a self-made LCPL) successfully realizes zooming of 7 focal lengths, and the zooming distance meets the expected requirements essentially. This experiment fully verified the feasibility of multi-point zoom in LCPLs system.