The low-frequency vibration isolation performance of the vibration isolation system with high-static-low-dynamic stiffness is superior to linear system，and the two-stage vibration isolation system attenuates high-frequency vibration rapidly. Combining the two advantages，a two-stage vibration isolation system with high-static-low-dynamic stiffness based on Euler buckled beam negative stiffness corrector is proposed. The static analysis of the system is carried out. The dynamic equations of the two-stage isolation system with high-static-low-dynamic stiffness is established by using the active vibration isolation model，and the dynamic response of system is solved by using the Harmonic Balance Method. There is a restriction when using the two-stage vibration isolation system. The restriction is that there is a constraint relationship between the upper and lower stiffness，and the upper and lower stiffness cannot achieve quasi-zero stiffness at the same time when using the system. Moreover，the effective range of the linear stiffness coefficient of the upper and lower stiffness is given. The influence of the upper and lower stiffness coefficients on the vibration isolation performance of the system is discussed in detail in terms of the boundary of the effective range，and its vibration performance is compared with that of the ordinary two-stage linear vibration isolation system. The results show that the vibration isolation performance of the system is the best when the upper stiffness is completely linear and the lower stiffness is quasi-zero stiffness. Furthermore，the force transmissibility of the two-stage nonlinear vibration isolation system is defined and the influence of system parameters on dynamic response and vibration isolation performance is studied.