A magnetic coupling device includes a magnetic flywheel unit including a flywheel and multiple first magnets equiangularly spaced around the periphery of the flywheel to form a first annular magnetic series with the same pole facing toward the radial outer side of the flywheel, and a magnetic coupling unit including a plate body rotatably mounted to the periphery of the flywheel, a rotating shaft mounted to the center of axis of the plate body, multiple second magnets and third magnets alternatively mounted on the plate body around the rotating shaft to create a second annular magnetic series that is magnetically coupled to the first annular magnetic series. Further, a magnetoresistive ring frame is mounted to the periphery of the flywheel for movement along the axial direction of the flywheel to create a magnetic coupling control device.