A compressor having a compression member whose upper surface crosses an axial direction of a rotary shaft and is inclined continuously between a top dead center and a bottom dead center and which is disposed in a cylinder to be rotated by a rotary shaft and which compresses a fluid sucked from a suction port to discharge the fluid via a discharge port; a vane disposed between the suction port and the discharge port abuts on the upper surface of the compression member and partitions a compression space in the cylinder into a low pressure chamber and a high pressure chamber; the upper surface of the compression member has a flat surface centering on an intermediate point between the top dead center and the bottom dead center and curved surfaces gradually approaching the top dead center and the bottom dead center continuously from the flat surface.