A fluid dispenser device having a body (1) with a dispenser orifice (2) and a perforator element (4), the body containing a reservoir (10) with at least two doses of fluid and having a proximal axial opening closed by a membrane (30) and a distal axial opening closed by a piston (20) to dispense one dose of fluid on each actuation. The reservoir is axially movable relative to the body between a rest position in which said perforator element does not pass through the membrane and a dispensing position in which the perforator element passes through the membrane. A perforator spring (6) is provided to urge the reservoir towards the rest position, and the membrane is adapted to close after each actuation, when said perforator element withdraws from the reservoir.
