The invention belongs to the technical field of vibration and noise control and relates to a relatively-high-applicability passive isolation technology for ultralow-frequency vibration. In order to effectively solve the problem between the low-frequency vibration transmissibility and the high-frequency vibration attenuation rate of the vibration isolator, the invention provides the stiffness-adjustable magnetic vibration isolator with quasi zero stiffness, which adopts rectangular permanent magnets generating negative stiffness and an elastic capsule providing positive stiffness; and when a load is changed, the working position of the elastic capsule is controlled unchanged, the positive stiffness of the elastic capsule is changed because the pressure inside the elastic capsule is changed, and then, the negative stiffness is matched with the positive stiffness through regulating the distance among the rectangular magnets, so that the stiffness-adjustable magnetic vibration isolator with quasi zero stiffness is adaptable to vibration isolation objects with different weights. The stiffness-adjustable magnetic vibration isolator with quasi zero stiffness is simple in structure, convenient to mount, adjustable in bearing capacity, excellent in vibration isolation property, compact in structure, light in weight and suitable for popularization and application.