A tamper-evident closure containing an outer cap with a sidewall and a top wall having a tamper-evident member connected by a frangible structure; an inner cap with a sidewall and a top wall, coaxially nested in the outer cap; a protruding element between the top walls; a first engagement mechanism for driving the outer cap and the inner cap upon application of a rotational torque in a screwing direction; a second engagement mechanism for driving the outer cap and the inner cap upon application of a rotational torque in an unscrewing direction; and a third engagement mechanism for breaking the frangible structure upon rotational movement of the outer and inner caps.