The invention relates to a pendulum support (10), with hydraulic damping, comprising two separate sleeve housings (11, 12), linked to each other, by a support arm (13). A sleeve with hydraulic damping is fixed in at least one of the sleeve housings (11), which comprises an elastomer body (34), for mounting a bearing inner component (31). There are at least two further fluid filled chambers (39, 40), linked to each other by an overflow channel (36). According to the invention both chambers (39, 40) are additionally linked by a by-pass channel (41), which is arranged in parallel with the overflow channel (36). The by-pass channel may be closed by a power-operated adjuster (25). An adjustment of the damping property, to suit differing operating conditions, is, thus, made possible.