An inhalation-synchronised fluid product dispenser device comprising a body provided with a mouthpiece, a product reservoir containing a fluid product and a propellant gas being mounted to slide axially relative to said body, a metering valve, comprising a valve member movable between a rest position and an actuation position, being assembled on said reservoir for selectively dispensing the fluid product on each actuation, said device further comprising: - a blocking element that is movable and/or deformable between a blocking position in which said metering valve cannot be actuated, and an actuation position in which said metering valve can be actuated, - a trigger element that is movable and/or deformable between a locking position in which it blocks said blocking element in its blocking position, and a release position wherein it does not block said blocking element, - an inhalation-controlled trigger system comprising an inhalation-sensitive member that is deformable and/or movable under the effect of inhaling, said inhalation-sensitive member cooperating with said trigger element, such that when said inhalation-sensitive member is deformed and/or moved, it moves and/or deforms said trigger element towards its release position, thus making it possible to move and/or deform said blocking element from its blocking position towards its actuation position, and - an actuating member cooperating with said blocking element, such that in the blocking position of said blocking element, said blocking element prevents said actuating member from moving axially, and in the actuation position of said blocking element, said blocking element enables said actuating member to move axially, characterised in that said device comprises: - a cover fixed, in particular screwed or snap-fitted, on said body, - a push member cooperating with said actuating member and mounted to slide axially in said cover, - a spring disposed between said cover and said push member, wherein, before inhalation, said push member is out of contact with said reservoir, such that the force exerted on said push member by said spring is not transmitted to said reservoir, and during inhalation, said push member moves axially with said actuating member so as to come into contact with said reservoir and move said reservoir axially in said body so as to actuate said valve. - a blocking element that is movable and/or deformable between a blocking position in which said metering valve cannot be actuated, and an actuation position in which said metering valve can be actuated, - a trigger element that is movable and/or deformable between a locking position in which it blocks said blocking element in its blocking position, and a release position wherein it does not block said blocking element, - an inhalation-controlled trigger system comprising an inhalation-sensitive member that is deformable and/or movable under the effect of inhaling, said inhalation-sensitive member cooperating with said trigger element, such that when said inhalation-sensitive member is deformed and/or moved, it moves and/or deforms said trigger element towards its release position, thus making it possible to move and/or deform said blocking element from its blocking position towards its actuation position, and - an actuating member cooperating with said blocking element, such that in the blocking position of said blocking element, said blocking element prevents said actuating member from moving axially, and in the actuation position of said blocking element, said blocking element enables said actuating member to move axially, characterised in that said device comprises: - a cover fixed, in particular screwed or snap-fitted, on said body, - a push member cooperating with said actuating member and mounted to slide axially in said cover, - a spring disposed between said cover and said push member, wherein, before inhalation, said push member is out of contact with said reservoir, such that the force exerted on said push member by said spring is not transmitted to said reservoir, and during inhalation, said push member moves axially with said actuating member so as to come into contact with said reservoir and move said reservoir axially in said body so as to actuate said valve. characterised in that said device comprises: - a cover fixed, in particular screwed or snap-fitted, on said body, - a push member cooperating with said actuating member and mounted to slide axially in said cover, - a spring disposed between said cover and said push member, - a cover fixed, in particular screwed or snap-fitted, on said body, - a push member cooperating with said actuating member and mounted to slide axially in said cover, - a spring disposed between said cover and said push member, wherein, before inhalation, said push member is out of contact with said reservoir, such that the force exerted on said push member by said spring is not transmitted to said reservoir, and during inhalation, said push member moves axially with said actuating member so as to come into contact with said reservoir and move said reservoir axially in said body so as to actuate said valve.