A fluid dispenser device including a body (10), a reservoir (20), a dispenser head (100), and a dispenser member (30) mounted by a fastener ring (60). The device includes a lateral actuator system (40) secured to the body (10) and having an actuator element (41) movable between a rest position and an actuated position. The lateral actuator system (40) includes a presser element (42) mounted on the body (10) to pivot about an axis (A). The actuator element (41) is mounted on the presser element (42) to pivot about an axis (B) that is substantially parallel to the axis (A). The actuator element (41) co-operates with the presser element (42) by a multi-directional ball joint (400) that enables the actuator element (41) to pivot about the axis (B) and to move relative to the presser element (42) in at least one other direction.