<p>Quasi-zero stiffness isolators exhibit excellent performance in low-frequency vibration isolation. In this paper, inspired by the high flexibility characteristics of origami structures and stable magnetic repulsion forces, a magnetic-controlled-triangular conical origami (MC-TCO) structure is proposed to explore a quasi-zero stiffness isolator, which combines high load-bearing capacity and excellent low-frequency vibration isolation performance. The dynamic equations of the MC-TCO vibration isolator are established based on the principle of Virtual Work and Lagrange’s Principle. The expression of the vibration transmissibility of the system is obtained by employing the Harmonic Balance method, and the numerical method is used for mutual verification. Subsequently, a detailed static and dynamic characterization is carried out. The results show that by optimizing design parameters (e.g., radius ratio, initial angle, residual magnetic flux density, etc.), the structure can acquire abundant mechanical properties, thus achieving a wide range of quasi-zero stiffness. Furthermore, the low-frequency vibration isolation performance of the vibration isolation system of MC-TCO is systematically investigated. Parametric analysis shows that the steady-state response of the system exhibits rich nonlinear vibration characteristics (e.g., stiffness softening/hardening characteristics). The adjustment of key parameters enables flexible switching between stiffness-hardening and softening behavior to realize efficient low-frequency vibration isolation. Moreover, this property significantly decreased the resonance/anti-resonance frequency and broadened the effective vibration isolation frequency band. This study extends the design ideas of quasi-zero-stiffness vibration isolators by incorporating origami structural flexibility and controllable magnetic repulsion, which provides an innovative scheme for low-frequency vibration isolation of engineering structures.</p>