A method for manufacturing a fiber-reinforced resin molded article by cold press molding a fiber-reinforced resin material including reinforcing fibers and a thermoplastic resin using molds containing an upper mold and a lower mold, the method satisfying the following a) to f) simultaneously: a) the internal temperature of the fiber-reinforced resin material immediately after heating and before molding hereafter referred to as the heating temperature T, is in a temperature range higher than the melting point of a crystalline resin by 50 to 100°C in case where the thermoplastic resin is the crystalline resin, or the heating temperature is in a temperature range higher than a glass transition temperature of an amorphous resin by 125 to 175°C in case where the thermoplastic resin is the amorphous resin; b) a charge time tc from the end of heating the fiber-reinforced resin material until the heated fiber-reinforced resin material is arranged on the lower mold is 6.0 to 35.0 seconds; c) an air-cooling rate C1 of the fiber-reinforced resin material from the end of heating the fiber-reinforced resin material to the time point when the fiber-reinforced resin material is arranged on the lower mold and is brought into contact with the upper mold is 1.0 to 6.5 °C/sec; d) a pressurization time from when the upper mold is brought into contact with the fiber-reinforced resin material until the pressing pressure reaches a specified pressure is 0.1 to 2.5 sec; e) a flow stop temperature Tf when the fiber-reinforced resin material stops flowing is in a temperature range of 25°C lower than the melting point of the crystalline resin to 30°C higher than the melting point thereof in case where the thermoplastic resin is the crystalline resin, or the flow stop temperature is in a temperature range higher than the glass transition temperature by 50 to 105°C in case where the thermoplastic resin is the amorphous resin; f) a moldable time tm from the time point when the pressure of the press molding machine reaches half of the specified pressure after the upper mold is brought into contact with the fiber-reinforced resin material to the time point when the temperature of the fiber-reinforced resin material reaches the flow stop temperature is 0.01 to 18 sec, the moldable time tm satisfying the following formula using the above a) to e), tm = T − C 1 × tc + C 2 × 0.5 × tp − Tf C 2 in the formula, tm represents the moldable time, T represents the heating temperature, tc represents the charge time, C1 represents the air-cooling rate, tp represents the pressurization time, Tf represents the flow stop temperature, and C2 represents a cooling rate during pressing of the fiber-reinforced resin material from when the upper mold is brought into contact with the fiber-reinforced resin material to when the fiber-reinforced resin material reaches the flow stop temperature. a) the internal temperature of the fiber-reinforced resin material immediately after heating and before molding hereafter referred to as the heating temperature T, is in a temperature range higher than the melting point of a crystalline resin by 50 to 100°C in case where the thermoplastic resin is the crystalline resin, or the heating temperature is in a temperature range higher than a glass transition temperature of an amorphous resin by 125 to 175°C in case where the thermoplastic resin is the amorphous resin; b) a charge time tc from the end of heating the fiber-reinforced resin material until the heated fiber-reinforced resin material is arranged on the lower mold is 6.0 to 35.0 seconds; c) an air-cooling rate C1 of the fiber-reinforced resin material from the end of heating the fiber-reinforced resin material to the time point when the fiber-reinforced resin material is arranged on the lower mold and is brought into contact with the upper mold is 1.0 to 6.5 °C/sec; d) a pressurization time from when the upper mold is brought into contact with the fiber-reinforced resin material until the pressing pressure reaches a specified pressure is 0.1 to 2.5 sec; e) a flow stop temperature Tf when the fiber-reinforced resin material stops flowing is in a temperature range of 25°C lower than the melting point of the crystalline resin to 30°C higher than the melting point thereof in case where the thermoplastic resin is the crystalline resin, or the flow stop temperature is in a temperature range higher than the glass transition temperature by 50 to 105°C in case where the thermoplastic resin is the amorphous resin; f) a moldable time tm from the time point when the pressure of the press molding machine reaches half of the specified pressure after the upper mold is brought into contact with the fiber-reinforced resin material to the time point when the temperature of the fiber-reinforced resin material reaches the flow stop temperature is 0.01 to 18 sec, the moldable time tm satisfying the following formula using the above a) to e), tm = T − C 1 × tc + C 2 × 0.5 × tp − Tf C 2 in the formula, tm represents the moldable time, T represents the heating temperature, tc represents the charge time, C1 represents the air-cooling rate, tp represents the pressurization time, Tf represents the flow stop temperature, and C2 represents a cooling rate during pressing of the fiber-reinforced resin material from when the upper mold is brought into contact with the fiber-reinforced resin material to when the fiber-reinforced resin material reaches the flow stop temperature.