A fluid dispenser device comprising: a body (10); a plurality of individual reservoirs (21) each containing a dose of fluid, such as powder, said reservoirs being disposed one behind another on an elongate flexible strip (20); reservoir-opening means (80) comprising a perforator element that is stationary relative to the body; first strip displacement means (30) for causing the elongate flexible strip (20) to advance before and/or after each actuation of the device; and second reservoir-displacement means (50) for displacing a full reservoir (21) against said perforator element for opening said reservoir, said first displacement means including an indexer wheel (30) that is rotatably mounted on said second displacement means (50) and provided with at least one cavity (31) that is adapted to receive a respective reservoir, turning said indexer wheel (30) and thus causing said elongate flexible strip (20) to advance, said first displacement means include an actuator member (3000) that is disposed in coaxial manner radially inside said indexer wheel (30), said actuator member (3000) being rotatable relative to said indexer wheel.