Abstract: With the development of high-precision spacecraft payloads, the vibration isolation becomes more and more important. In the ground micro-vibration tests of such spacecraft, the free boundary in the orbiting process should be simulated and the vibration should be isolated from the ground with the mass of the spacecraft being supported. Therefore, quasi-zero-stiffness isolators with high static stiffness and low dynamic stiffness were developed to satisfy the above need. In this paper, the recent advances in the development of high static stiffness and low dynamic stiffness isolators are reviewed, including the common types in practical applications and those that have potential applications in recent years. The hotspots of the development are analyzed and prospected.