A dosing device includes a body and an actuating element mounted in non-rotatable, liftable manner on the body. A counting device for the actuating strokes has a rotary counting ring forcibly coupled as a function of a lifting movement of the actuating element. A lock blocks the actuating element following a predetermined number of actuating strokes.The lock is associated with the counting ring in such a way that the latter can perform more than a complete revolution before the actuating element is blocked.