An eyeglasses assembly includes a rim unit, two temple members, and two coupling units interconnecting the temple members and the rim body. The coupling unit includes a first coupling member that has a slide groove including a non-limiting and a limiting groove section, and a second coupling member that engages the non-limiting and limiting groove sections to permit and prevent separation of the first and second coupling members, respectively. The coupling unit further includes a latch member movably mounted to the first coupling member and movable between a closed position and an open position that respectively prevents and permits the movement of the second coupling member into the non-limiting groove section.