A fluid compressor is provided with: an enclosed container (20) having a suction opening (21) formed therein; a compression mechanism having a compression chamber (23) in which fluid flowing into the enclosed container (20) through the suction opening (21) is compressed; a discharge port (1f) through which the fluid compressed in the compression chamber (23) flows; a discharge valve (26) for opening and closing the discharge port (1f); and a valve hold-down member (27) for limiting the amount of lift of the discharge valve (26). The discharge valve (26) is provided with a curved surface section (26a) having one or more curvatures, and the discharge valve (26) and the valve hold-down member (27) are separated from each other when the discharge port (1f) is closed by the discharge valve (26).