A fluid dispenser device comprising: a body (10); at least one individual reservoir (21); movable support means (50) that receive at least one reservoir (21), and that are displaceable between a non-dispensing position and a dispensing position; reservoir-opening means (80) for opening a reservoir when said opening means are actuated; loading means (800) for urging said movable support means towards said dispensing position; blocking means (100) for retaining said movable support means in the non-dispensing position; and inhalation trigger means (60); said blocking means (100) comprising a blocking element (110) that is movable between a blocking position and an unblocking position, said blocking element (110) co-operating with a projection (501) that is secured to movable support means (50).