Combining a knife-supported sliding beam featured negative stiffness with a linear positive stiffness mechanical spring, a fully new type ultra-low frequency passive isolator is proposed and designed in this paper. The static characteristics of the system are analyzed and the displacement-force relationship is given as well as the stiffness expression. The configuration of the system to get quasi-zero dynamic stiffness was derived. The equilibrium operation point is discussed considering the practical application. The nonlinear dynamic equation is established and solved using Harmonic Balance Method (HBM) after appropriately simplified it to a known as Helmholtz-Duffing equation. The system behaves softening feature when excited with small amplitude. And double jump phenomenon is found when certain excitation amplitude is applied after examining the frequency-response curves of the system. The analysis in this article offers theoretical guidance for the design of such kind of low-frequency nonlinear isolator.