A latch assembly especially for the doors, seats, or seatbacks of motor vehicles with a latch element installed rotatably in a lock housing to retain an opposing latch part when the assembly is in the locking position, which opposing part can disconnect itself from the latch element when the assembly is in a released position. A tensioning element exerts a tensioning force when the assembly is in the locking position, by which a tension edge forming a permanent part of the opposing latch part is pressed against an opposing tension edge forming a permanent part of the lock housing. The tensioning member is a slide plate supported on a guide edge of the lock housing and a certain area of the plate forms a tensioning cam, which is at an angle relative to the movement of the slide plate and which cooperates with a projection on the latch element.