An inhalation-synchronized 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 wherein said metering valve cannot be actuated, and an actuation position wherein said metering valve can be actuated, - a trigger element that is movable and/or deformable between a locking position wherein 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 the inhalation, 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 an axial movement of said actuating member, and in position for actuating said blocking element, said blocking element makes it possible to move said actuating member axially, characterised in that said device comprises: - a cover comprising a central axial sleeve provided with a lower axial edge, - a push member mounted to slide axially in said cover around said central axial sleeve, and intended to cooperate with said actuating member and with said reservoir, - a spring disposed around said central axial sleeve, between a bottom of said cover and said push member, wherein said lower axial edge of said central axial sleeve is deformed after assembly of said push member and said spring around said central axial sleeve, in order to produce a retaining collar for said push member and thus form a pre-assembled subassembly, said pre-assembled subassembly then being fixed, in particular screwed or snap-fitted to said body. - a blocking element that is movable and/or deformable between a blocking position wherein said metering valve cannot be actuated, and an actuation position wherein said metering valve can be actuated, - a trigger element that is movable and/or deformable between a locking position wherein 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 the inhalation, 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 an axial movement of said actuating member, and in position for actuating said blocking element, said blocking element makes it possible to move said actuating member axially, characterised in that said device comprises: - a cover comprising a central axial sleeve provided with a lower axial edge, - a push member mounted to slide axially in said cover around said central axial sleeve, and intended to cooperate with said actuating member and with said reservoir, - a spring disposed around said central axial sleeve, between a bottom of said cover and said push member, wherein said lower axial edge of said central axial sleeve is deformed after assembly of said push member and said spring around said central axial sleeve, in order to produce a retaining collar for said push member and thus form a pre-assembled subassembly, said pre-assembled subassembly then being fixed, in particular screwed or snap-fitted to said body.