A fluid dispenser device having a body (10), a fluid reservoir (20) containing one or a plurality of doses of fluid, a piston (30) designed to slide in the reservoir so as to dispense a dose of fluid each time the device is actuated, and actuator (40) for displacing the piston (30), the device being characterized in that it includes at least two laterally-actuated elements (50, 60) distributed around the body (10), the laterally-actuated elements (50, 60) being displaced simultaneously in a direction that is approximately transverse to the central axis of the device, and each co-operating with a peripheral edge (41) of the actuator (40) so as to exert an axial force thereon.