A fluid dispenser comprising: a fluid reservoir (1) defining a neck (11) and a bottom wall (12) provided with a filling valve (13, 15); a dispenser member (5), such as a pump, that is mounted on the reservoir (1) so as to take the fluid, the dispenser member (5) including a body (51) and an actuator rod (56) that is movable downwards and upwards along an axis X; a pusher (6, 7) that is mounted on the actuator rod (56) of the dispenser member (5) in such a manner as to turn about the axis X of the rod (56); a vent passage that puts the reservoir (1) into communication with the outside; closure means (3) for selectively closing the vent passage; and control means (4) for urging the closure means (3) into a closed condition, in which they close the vent passage, from an open condition, in which they do not close the vent passage; the dispenser being characterized in that the control means (4) are secured to the pusher (6, 7) or moved by the pusher.