A connector module includes a female connector and a male connector. The female connector includes a female magnetic part having a jack, an anode contact disposed in the jack, and a cathode contact disposed on the female magnetic part and surrounding the jack. The male connector includes a male magnetic part corresponding to the female magnetic part, an anode plug protruded from the male magnetic part, and a cathode plug disposed on the male magnetic part having a protruding position and an invaginating position in relative to the male magnetic part. When the male magnetic part attracts the female magnetic part, the anode plug is inserted in the jack and is in electrical contact with the anode contact. The cathode plug is in electrical contact with the cathode contact and is moved from the protruding position to the invaginating position. The male connector rotates on the female connector relatively.