A weather-resistant outlet box is hinged at one corner and includes a cover which latches to a back body at an opposite corner. A flexible latch member, which contains a hook member, is molded as an integral part of the cover. A catch piece on the back body interlocks with the hook member when the cover is closed. The flexible latch member includes a trigger member extending from the hook member. A thumb rest on the cover permits one-handed operation. The cover is opened by placing a user's thumb on the thumb rest while simultaneously pulling the trigger member with the user's finger, thus unlocking the hook member from the catch piece and permitting the cover to open.