A vibration damping apparatus for transportation includes a vertical direction damping means having air springs (5) and air dampers (6) arranged in parallel on a base (2), and horizontal direction damping means of laminated rubbers (10). The vertical and horizontal damping means are combined in series for supporting a load base (11). The apparatus further includes an air supply source (4) for supplying air into the air springs, control vales (21) provided between the air springs and the air supply source for controlling air supply into and exhaust from the air springs, displacement detecting means (22) for detecting displacements of the load base relative to the base, and control means (23) for controlling the control valves on the basis of results detected by the displacement detecting means to maintain the load base horizontally and at a constant level relative to the base whatever load is loaded on the load base.