Device for dispensing a fluid product comprising a body (1) having a dispensing opening (2) and a piercing element (4), said body (1) containing a reservoir (10) containing at least two doses of fluid product, said reservoir (10) having a proximal axial opening closed by a membrane (30) and a distal axial opening closed by a piston (20), mounted in a sliding manner in said reservoir (10) in order to dispense a dose of fluid product on each actuation, said reservoir (10) being axially movable with respect to said body (1) between a rest position, in which said piercing element (4) does not pass through said membrane (30), and a dispensing position, in which said piercing element (4) passes through said membrane (30), said membrane (30) being capable of reclosing in a sealed manner after each actuation, when said piercing element (4) comes back out from said reservoir (10), said device comprising a lateral actuation system having an actuating member (50), laterally movable with respect to said body (1) between a rest position and an actuating position, said actuating member (50) being resiliently biased towards the rest position thereof, said actuating member (50) comprising a first cam (51) cooperating with said reservoir (10) and a second cam (52) cooperating with said piston (20), such that the movement of said actuating member (50) to the actuating position thereof first moves said reservoir (10) to the dispensing position thereof then causes said piston (20) to slide in said reservoir (10), to dispense a dose of fluid product.Dispositif de distribution de produit fluide comportant un corps (1) pourvu d'un orifice de distribution (2) et d'un élément de perçage (4), ledit corps (1) contenant un réservoir (10) contenant au moins deux doses de produit fluide, ledit réservoir (10) comportant une ouverture axiale proximale obturée par une membrane (30) et une ouverture axiale distale obturée par un piston (20), monté coulissant dans ledit réservoir (10) pour distribuer
