Abstract: A flooring support system comprising a floor having an upper surface and a lower surface, a base surface, a floor support for supporting the lower surface of the floor in spaced relation above the base surface, the support including a resiliently compressible body having a first end surface engaged with the lower surface of the floor, a second end surface facing opposite the first end surface and engaged with the base surface, a central portion located intermediate the first and second end surfaces, and pneumatic spring means in the central portion for storing energy transferred through the floor to the body and for returning to the floor from the body substantially all energy transferred to the body through the floor, the pneumatic spring including a mechanism for affording resilient deflection of the first end surface toward the second end surface and pneumatic air cells for resisting deflection of the first surface toward the second surface.