The invention discloses a quasi-zero stiffness vibration isolator with positive and negative stiffness in parallel connection. The vibration isolator comprises a base, an upper cover, a supporting rod, spiral springs, spacers, an annular iron core, fan-shaped permanent magnet bodies, stators, a permanent magnet body clamping mechanism, working air gaps and a guide plate. The fan-shaped permanent magnet bodies, stators, permanent magnet body clamping mechanism, and working air gaps form a magnetic flow loop, and form magnetic springs with negative magnetic stiffness. The spiral springs are connected with the supporting rod and the upper cover, and initial positive stiffness of the vibration isolator is provided and is in parallel connection with magnetic negative stiffness. The dynamic stiffness of the annular iron core in the equilibrium position is reduced. The guide plate is mounted on the lower portion of the base, and is in sliding-fit with the supporting rod. Compared with an existing quasi-zero stiffness vibration isolator, the vibration isolator has the advantages that load bearing is high, and the mechanism is compact; and as a passive vibration isolator, the vibration isolator can effectively reduce the natural frequency of the vibration isolation system, broaden a vibration isolation frequency band, and has the advantages of easy maintenance and high reliability.