A fluid dispenser device comprising a body (10) that supports, in stationary manner, a reservoir (20) containing fluid, a dispenser head (30) being assembled on said body (10) so as to be axially movable relative to said reservoir (20), said dispenser head (30) being provided with a dispenser orifice (31), said dispenser head (30) including a proximal bearing surface (35) that, during actuation, receives at least one, and typically two, of the user's fingers, and said body (10) including a distal bearing surface (15) that, during actuation, is suitable for receiving one of the user's fingers, and typically the thumb, said device including a removable actuator member (40) that is fastened in removable manner on said body (10) at said distal bearing surface (15), said removable actuator member (40) having a radial dimension that is greater than the radial dimension of said bearing surface (15).