A compression molding apparatus of a resin molded product including a fiber, which supplies a resin material including a fiber to an open lower mold by means of a material supply device, then closes the lower mold and an upper mold, and compresses the material, the compression molding apparatus comprising: a material heating mechanism for melting the resin material including a fiber into a molten state until compression molding is initiated; a press machine provided with an upper plate to which the upper mold is attached and a lower plate to which the lower mold is attached, at least three position sensors for detecting a distance between the upper mold and the lower mold or the upper plate and the lower plate; at least three compression hydraulic cylinders installed to any one of the upper plate and the lower plate and individually controlled according to information of the position sensors, the number of compression hydraulic cylinders corresponds to the number of position sensors; and pressure sensors (87, 88) for detecting a pressure of a working fluid, the pressure sensors being installed at the compression hydraulic cylinders or at a duct connected to an oil chamber (22a, 22b) of a compression hydraulic cylinder; the lower mold being movable to a position out of the press machine to receive resin material from the material supply device, and subsequently being movable to a position inside the press machine; the compression hydraulic cylinders being operable to pressurize, and thereby compression-mold, the material, the compression molding apparatus being operable to perform a first pressurizing process, individually controlling the compression hydraulic cylinders according to information of the position sensors to perform position control or speed control and then a second pressurizing process individually controlling the compression hydraulic cylinders according to only the information of the pressure sensors or according to information of the position sensors along with information of the pressure sensors. a material heating mechanism for melting the resin material including a fiber into a molten state until compression molding is initiated; a press machine provided with an upper plate to which the upper mold is attached and a lower plate to which the lower mold is attached, at least three position sensors for detecting a distance between the upper mold and the lower mold or the upper plate and the lower plate; at least three compression hydraulic cylinders installed to any one of the upper plate and the lower plate and individually controlled according to information of the position sensors, the number of compression hydraulic cylinders corresponds to the number of position sensors; and pressure sensors (87, 88) for detecting a pressure of a working fluid, the pressure sensors being installed at the compression hydraulic cylinders or at a duct connected to an oil chamber (22a, 22b) of a compression hydraulic cylinder; the lower mold being movable to a position out of the press machine to receive resin material from the material supply device, and subsequently being movable to a position inside the press machine; the compression hydraulic cylinders being operable to pressurize, and thereby compression-mold, the material, the compression molding apparatus being operable to perform a first pressurizing process, individually controlling the compression hydraulic cylinders according to information of the position sensors to perform position control or speed control and then a second pressurizing process individually controlling the compression hydraulic cylinders according to only the information of the pressure sensors or according to information of the position sensors along with information of the pressure sensors.