A damping device, in particular a vehicle suspension, comprising: - a helical spring including a compression axis, a first spring end and a second spring end and a plurality of turns extending along the compression axis between the first spring end and the second spring end, with the plurality of turns defining a spring inner space, - a support member including a first seat and a second seat, with said first seat being intended to receive and support the first end of the spring, and said second seat being intended to receive and support the second end of the spring, - a localized flap member, rigidly secured to a portion of a spring turn between the first spring end and the second spring end, with the materials of the flap member allowing the elastic deformation thereof, the securing of the flap member to said turn portion being so arranged that the flap member, on the one hand, substantially cannot move along the turn, and on the other hand, can oscillate with respect to a central axis (Sa) of the turn portion (Sp), with the flap member including a housing for securing to said portion of the spring turn and struts (30, 32) extending in parallel directions of extension and adapted to oscillate further to an elastic deformation, with the flap member having a self resonant frequency depending on the spring vibration modes so as to damp the vibration frequency of the spring turns, characterized in that: - the flap member includes a first strut, a second strut and a connecting part, with the struts (30, 32) being interconnected by the connecting part and extending in two opposite directions from such connecting part, - either the flap member has, in side elevation, the shape of a long flat S, with the first strut being arranged in the spring inner space and the second strut being arranged outside the spring inner space, with the first strut being connected to the connecting part by means of a first elbow and the second strut being connected to the connecting part by means of a second elbow, - or the flap member has the shape of a l, with the first strut and the second strut being arranged outside the spring inner space, and continuous with each other, so as to form a plan, with the connecting part protruding therefrom. - a helical spring including a compression axis, a first spring end and a second spring end and a plurality of turns extending along the compression axis between the first spring end and the second spring end, with the plurality of turns defining a spring inner space, - a support member including a first seat and a second seat, with said first seat being intended to receive and support the first end of the spring, and said second seat being intended to receive and support the second end of the spring, - a localized flap member, rigidly secured to a portion of a spring turn between the first spring end and the second spring end, with the materials of the flap member allowing the elastic deformation thereof, the securing of the flap member to said turn portion being so arranged that the flap member, on the one hand, substantially cannot move along the turn, and on the other hand, can oscillate with respect to a central axis (Sa) of the turn portion (Sp), with the flap member including a housing for securing to said portion of the spring turn and struts (30, 32) extending in parallel directions of extension and adapted to oscillate further to an elastic deformation, with the flap member having a self resonant frequency depending on the spring vibration modes so as to damp the vibration frequency of the spring turns, - the flap member includes a first strut, a second strut and a connecting part, with the struts (30, 32) being interconnected by the connecting part and extending in two opposite directions from such connecting part, - either the flap member has, in side elevation, the shape of a long flat S, with the first strut being arranged in the spring inner space and the second strut being arranged outside the spring inner space, with the first strut being connected to the connecting part by means of a first elbow and the second strut being connected to the connecting part by means of a second elbow, - or the flap member has the shape of a l, with the first strut and the second strut being arranged outside the spring inner space, and continuous with each other, so as to form a plan, with the connecting part protruding therefrom.