A fluid dispenser device including a body, an elongate flexible strip supporting a plurality of reservoirs, each containing a dose of fluid or powder an reservoir-opening mechanism for opening a reservoir on actuation a first displacement mechanism for causing the flexible strip to advance before, during and/or after actuation, so as to bring a full reservoir into register with the reservoir-opening mechanism and a second displacement mechanism for displacing a full reservoir against the opening mechanism each actuation. The leading end of the flexible strip is fastened to a rotary receiver element, the receiver element including a set of peripheral teeth that co-operates with a movable traction member, a stressed spring acting on the movable traction member so as to displace it, the displacement of the movable traction member causing the receiver element to turn, such that the receiver element exerts a traction force on the elongate strip.