The invention relates to a multi-degree-of-freedom low frequency vibration isolator based on vibration mode and swing mode coupling. The multi-degree-of-freedom low frequency vibration isolator mainlycomprises a high static state stiffness vibration isolator body and a low dynamic state stiffness vibration isolator body which are the same and are symmetrically arranged up and down, and supportingrods of the high static state stiffness vibration isolator body and the low dynamic state stiffness vibration isolator body are connected with a space swing mechanism through two spherical hinges; the high static state stiffness vibration isolator body and the low dynamic state stiffness vibration isolator body are each provided with a spiral spring and a magnetic negative stiffness mechanism; each spiral spring provides positive stiffness supporting along an axial support; each magnetic negative stiffness spring is formed by three attracted annular permanent magnets and provides nonlinear resilience and negative stiffness characteristics in the vertical direction; and the high static state stiffness vibration isolator body and the low dynamic state stiffness vibration isolator body achieve motion coupling with the space swing mechanism, quasi-zero stiffness characteristics and geometric nonlinearity damping in the horizontal direction are achieved, and low-frequency vibration of an object subject to vibration isolation in three transverse movement directions is effectively isolated. The multi-degree-of-freedom low frequency vibration isolator has the beneficial effects of high bearing capacity and low resonant frequency, and the good inhibitory effect on the low frequency vibration in multiple degree-of-freedom directions is achieved.