An active vibration damping arrangement which is adapted to improve passenger ride comfort in various types and categories of transport vehicles; especially such as, but not limited to railroads, buses, automotive devices, maglev (magnetic levitation) vehicles, trains and people mover devices in general. In essence, pursuant to specific physical applications and uses, the active motion and vibration damping arrangement is intended to provide a suitable supplemental damping system installed in addition to currently employed so-called passive vibration dampers which are widely employed in connection with such vehicles, transportation devices, vibration-susceptive machinery and the like. The active motion and vibration damping arrangement includes a pair of actuators which; for example, may be constituted from hydraulic cylinder piston units or the like, each of which has respectively one end thereof connected, for instance, to a railroad car body, and the opposite end to the compartment floor of a passenger compartment which is subjected to vibrations and/or swaying and heaving motions encountered by the car body transmitted thereto due to varying road bed or rail conditions or irregularities transmitted through the wheel, truck, car body and, in essence, the normally installed passive vibration damping arrangement, towards the compartment floor.