A latching module for latching two housings together includes a rotary member, a compression spring, an elastic sheet, and a magnetic member. The rotary member is attached to one housing, and includes a first surface, a second surface opposite to the first surface, and a peripheral surface. The first surface defines a first receiving hole and a curved groove. The second surface defines a second receiving hole communicating with the first receiving hole. A latching projection extends from the peripheral surface. The compression spring is received in the second receiving hole. The elastic sheet is attached to the peripheral surface. The magnetic member is received in the curved groove. The magnetic member is attracted by another magnet to rotate the latching projection into a latch in another housing.