A nebuliser micro-pump (1) provided with an element (2) for covering and triggering its dispensing push-button (3), has an elongated body (5) with central axis (x), whereon is mounted a dispensing push-button complete with a tube (4) for orienting the spray, rotatable around the axis. The element has a lower fixed half-shell (12) integral with the elongated body and a lower half-shell (17) movable around a hinging axis (y) that is perpendicular to the central axis and offset relative thereto at the opposite side from the tube. The upper half-shell has a protuberance (20) acting on the dispensing push-button in the rotation of the movable half-shell relative to the fixed half-shell according to the arrow (W). The half-shells (12, 17) have respective through openings (15, 23) wherefrom simultaneously projects the tube in two angular positions, one non operative and the other one operative for the micro-pump.