To eliminate the wave shape of concentric circles produced on the work surface by the grinding provides a double disc surface grinding apparatus which can further improve the flatness of the work surfaces after grinding. Fitted on the outside of the workpiece than the grinding wheel on a pair of support pads (43a) for supporting non-contact by the pressure of the fluid, towards the center from the outer edge side is formed with a cutout 44 corresponding to the grinding wheel, the non-contact support surface 45, the bank mesh 52 to form the fluid supply hole and a plurality of pockets (51) to form a (62), these pockets (51) are provided, a mesh portion 52 is and the peripheral edge 53 along the outer periphery of the non-contact support surface (45), dividing the inside of the peripheral edge (53) and is configured on the outside connecting portion (52a) to within maekbu 54 to be connected to the peripheral edge 53, the peripheral edge (53 ) according to the portion of the cutout 44, so that one will not include the inside and outside connecting portion (52a) in the portion other than the vicinity of at least the center position of the work (W), (a ').