A fluid dispenser device including a body, a reservoir, a dispenser head, and a dispenser member. The dispenser member includes a dispenser-member body and a movable member that moves axially in the dispenser-member body during actuation. The device includes a lateral actuator system secured to the body and having an actuator element that co-operates with the reservoir, with the dispenser member, or with an element secured to the reservoir and/or the dispenser member. The actuator element is movable between a rest position and an actuated position. The body includes a guide surface for guiding the actuator element, the guide surface is stationary relative to the dispenser head, and substantially parallel to the movement axis of the movable member in the dispenser-member body during actuation.