Vibration isolators with high-static-low-dynamic-stiffness (HSLDS) characteristics are required in order to break through the contradiction between the stiffness and the load bearing capacity of the traditional vibration isolator. Nowadays, quasi-zero-stiffness vibration isolator technology can realize low-frequency vibration isolation under a small amplitude, but for large amplitude vibration, the vibration isolation effect is weakened or even ineffective. Therefore, wide-range amplitude vibration isolation has become a problem to be solved in the field of vibration isolation. In order to solve the problem of small vibration suppression amplitude of traditional vibration isolators, a parallel-assembly origami vibration isolator with wide zero stiffness range is proposed. The dynamic model of the origami vibration isolator with wide zero stiffness range is established, and design methodology for wide zero stiffness range is proposed. Based on the dynamic model, the vibration isolation effectiveness is analyzed. Finally, the correctness of the dynamic analysis is verified experimentally. This new design breaks through the design criterion of the traditional quasi-zero stiffness isolator that zero stiffness is only achieved at a specific point. Stability can be guaranteed over a large range, while achieving zero stiffness, which greatly broadens the application range of vibration isolators. This design concept can be used in the design of new vibration isolation materials and in large low-frequency dynamic environments such as aerospace and ships.