Fixing means (4, 5) extend axially throughout this support which has a generally annular shape. It comprises an annular elastically yieldable body (1) connected to two frames (2, 3), a flexible elastically yieldable wall (8) fixed between the two frames (2, 3) and defining with the outer surface of the body (1) a working chamber (A). This chamber communicates with an expansion chamber (B) through a duct (16). The support also includes means for limiting its axial and radial movements. Such a support has a particularly low specific stiffness both in the axial and transverse direction, which improves the filtering of high frequency vibrations, while affording a good damping of low frequency and large amplitude trepidations. It is moreover easy to manufacture and therefore of relatively low cost.