The invention relates to a fluid product dispenser comprising: a fluid product tank (1) provided with an opening (11); a fluid product dispensing member (2) such as a pump or a valve, said member including a body (21) and an actuation rod (23) capable of reciprocating movement along an axis X; a fixation dowel (3) for securing the dispensing member on the opening of the tank; a pusher (4; 4; 4) capable of axial reciprocating movement for displacing the actuation rod (23); a dispensing tip (50) defining a dispensing aperture (51); and displacement means (6, 4) capable of simultaneously generating a rotation axial displacement of the pusher and a rotation radial displacement of the tip.
