A rear suspension apparatus for a motor vehicle having a differential gear case (2) disposed between rear right- and left-wheels (1R, 1L), which is of a torsion beam type. In the rear suspension apparatus, a central portion (12a) of a torsion beam (12) for rotatably supporting the rear right- and left-hand wheels (1R, 1L) is curved to run along the configuration of the differential gear case (2), and is disposed at the rear of the differential gear case (2). A suspension damper (16) stretched between the torsion beam (12) and the vehicle body is disposed to be inclined upwardly and forwardly.