A wall mounted washing machine and a door thereof are disclosed, which are capable of fluid or moisture discharge. The wall mounted washing machine includes a cabinet having a front surface and a rear surface to be opened to form an appearance; a tub disposed in the cabinet to store wash water, a front panel installed in the tub; a drum rotatably installed in the tub; a cover installed in the front panel and having a door hinge; and a door rotatably coupled to the door hinge and having a door glass supported by a door inner frame and a door outer frame which are coupled to each other. The door includes a trap portion disposed around the door glass for guiding a fluid flow which flows through a gap between the door glass and the door inner frame.