A battery cover assembly (10) includes a housing (1), a connecting member (2), a cover (3), a latching section (6), an engaging board (8), and a button (9). The housing defines a locking hole (112) and a button hole (110). The connecting member includes a main body (22) and a sliding section (222) angled therefrom. The cover includes a sliding groove and a claw (32), the sliding section engaging the sliding groove. The latching section includes a body (62), a claw hole (622), and a stand arm (642). The stand arm passes through the locking hole, and the claw engages in the claw hole. The engaging board defines a first hole (82) and a fixing hole (84), and the stand arm engages the fixing hole. The button is received in the button hole and is configured for selectably maintaining the cover in a closed position relative to the housing.