A fluid dispenser device having a fluid dispenser member, the fluid dispenser member fastened by a fastener ring (30) on a reservoir (1). An actuator head (20) is mounted on the dispenser member and is movable so as to actuate the dispenser member. A removable blocking element (40), in its blocking position, prevents the dispenser member from being actuated. At least one breakable element (50) is secured to the blocking element so as to indicate first use. The blocking element is assembled around the fastener ring (30), between the head (20) and the reservoir (1), and, in its blocking position, co-operates with the actuator head and the reservoir so as to prevent the actuator head from moving axially relative to the reservoir. The breakable element (50) surrounds the blocking element (40), at least in part, before first use.