A hydraulically damping rubber mount comprises an inner first supporting body (1) and an outer second supporting body (2) connected to one another by a spring body (3) made of elastomeric material and bounding a working space (5) which is filled with damping fluid (4) and is separated from a compensating space (8) by a dividing wall (6) with at least one opening (7) in the form of a channel which allows the transfer of fluid, and the compensating space (8) is closed off at its end remote from the dividing wall (6) by a first diaphragm (9) which accommodates extra volume in an essentially unpressurized manner. The dividing wall (6) is of two-piece design and comprises a third supporting body and an absorber mass (11) of essentially T-shaped cross-section, attached to one another only by a circular second diaphragm (12) which extends essentially radially inwards. The absorber mass (11) has a centrally arranged opening which surrounds the first supporting body (1) with a radial clearance forming an annular gap (16) designed as a damping channel (17). The radial projection (14) is surrounded at its outer circumference, with a radial clearance from the second supporting body (2).
