A fluid dispenser device including a body (1), a reservoir unit (3) having a reservoir containing one dose or two half-doses of fluid, a dispensing member mounted to move axially inside the reservoir (3) between a rest position and a dispensing position, and an actuating element (5) that is mounted to move between a rest position and an actuating position. The actuating element (5) is disposed laterally, and has an end portion provided with a cam surface (6) which co-operates with the dispensing member (8) or the reservoir unit (3), the actuating element (5) being moved in a direction that is different from, and in particular substantially perpendicular to, the axial direction in which the dispensing member (8) moves relative to the reservoir.