A hydraulically damping bush bearing has an elongated inner part, and outer bush, an elastomeric damping member disposed between the inner part and outer bush and a pair of axial chambers offset from one another in an axial direction. The axial chambers communicate with one another via at least one axial channel. The bush bearing also has a pair of radial chambers that communicate via at least one radial channel. The radial chambers are disposed between the pair of axial chambers and are offset from each other in a circumferential direction. One of the pair of axial chambers has at least two separated first axial chambers spaced at a distance from one another in the circumferential direction.