Fluid product dispensing device

A fluid dispenser device comprising:

• a dispenser member, comprising a pump or a valve, mounted on a neck of a container containing a fluid to be dispensed, with a neck gasket interposed therebetween so as to provide sealing at said neck of the container, said dispenser member being mounted on said neck via a fastener element, comprising a fastener portion for fastening to said neck of the container, and a compression portion for compressing said neck gasket against said neck of the container, said compression portion including at least one projecting profile adapted to exert stresses on said neck gasket after assembly, wherein, after assembly, said neck of the container generates first stresses in said neck gasket, and said at least one projecting profile of the fastener element generates second stresses in said neck gasket, said first stresses being approximately axially opposite said second stresses, said neck of the container including a top margin of curved shape, said neck defining, at its end, an edge that is in contact with said neck gasket, the device being characterized in that said at least one projecting profile is arranged radially on the outside or on the inside of said edge when the fastener element is assembled on the neck of the container, said first and second stresses being approximately axially opposite but being radially offset, such that said first and second stresses are balanced at least in part.