The invention relates to a hydraulic cutting system of a cutting machine. The hydraulic cutting system of the cutting machine comprises an oil pump, the input end of the oil pump is connected with an oil tank, the output end of the oil pump is connected with the input end of an oil filter, and the output end of the oil filter is connected with the input end of a check valve. The hydraulic cutting system of the cutting machine is characterized in that the output end of the check valve is connected with an energy accumulator, an overflow valve, a first pressure relay, a second pressure relay, a third pressure relay, a first reversing valve and a second reversing valve, and the oil outlet of the second reversing valve is connected with a hydraulic clutch of the cutting machine. A stop valve is arranged between the overflow valve and the energy accumulator. The oil return opening of the first reversing valve and the oil return opening of the second reversing valve are connected with the oil tank. The third pressure relay is connected with a pressure gage and a pressure gage switch. One end of the overflow valve is connected with the output end of the check valve, and the other end of the overflow valve is connected into the oil tank. The power input end of the oil pump is connected with a motor. According to the hydraulic cutting system of the cutting machine, idle consumption heating of the hydraulic system is reduced, the viscosity performance of oil is ensured, and the service life of the oil is prolonged.