Abstract: A push-pull latch mechanism for screen doors, storm doors, and the like, in which a casing pivotally supporting a double-ended handle is mounted within an opening extending between the opposite surfaces of the door adjacent its swinging edge, the handle having a latch dog in offset relation to the pivot, inner and outer escutcheon plates having openings for receiving the handle ends therethrough, the escutcheon plates being securable to the opposite surfaces of the door independently of the casing, one of the escutcheon plates incorporating a manually operable member that is movable into dogging and non-dogging positions with respect to the handle, and in the dogging position being operative to oppose movement of the latch dog from its latching position.