The invention relates to a vibration damping device for a motor vehicle transmission chain comprising: - a first element and a second element (2) which are capable of movement in rotation about an axis of rotation X; - elastic damping means comprising an elastic blade (13, 14) mounted to rotate as one with the first element (3); and - a rolling body capable of movement with respect to the second element so as to be able to effect a curved path along at least a predetermined angular sector (A), the movement of the rolling body in a curved path with respect to the second element being accompanied by a movement of the rolling body along the elastic blade thereby causing it to flex.