The present invention relates to a hair cleaning apparatus having a non-powered magnetic vibrator and, more specifically, to a hair cleaning apparatus vibrated by a non-powered magnetic vibrator embedded in the same to convert kinetic energy such as external impact, friction, etc. into vibration energy by an action of a magnet. The present invention provides a hair cleaning apparatus having a non-powered magnetic vibrator which comprises: a diaphragm; a first magnet connected to the diaphragm; and a second magnet fixed in a position to the top surface of the first magnet to impose a repulsive force on the top surface of the first magnet, wherein the repulsive force between the first magnet connected to the diaphragm and the fixed second magnet is configured to keep the balance with the elastic force of the diaphragm, the vibration is generated when the balance between the repulsive force of the magnets and the elastic force of the diaphragm is affected by kinetic energy such as external impact, friction, etc. and the vibrator vibrates until the kinetic energy is consumed and the balance between the repulsive force and the elastic force is kept. The apparatus of the present invention can give effects of massaging a scalp and stimulating hairs to enhance the health of hairs, and can additionally give an effect of improving blood flow due to the magnets as well as an effect of cleaning. In addition, the vibrator of the present invention can be used for the other purpose such as a massage, thereby improving a massage effect compared with a conventional simple massage apparatus, because the impact by the motion of a human body is converted to vibration energy. Furthermore, the hair cleaning apparatus has a separate conductor inside, which is turned into a magnet by the second magnet to transmit indistinct magnetic force to an entire brush, and the intensity of the magnetic force varies according to phase changes due to the shaking of the first magnet to give a greater ma