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In order to improve the grabbing and discharging accuracy of the matching robot and reduce the defective rate in the process of grabbing and discharging, a high-precision automatic grabbing and discharging method of the matching robot based on Gauss Newton method is proposed. According to the clamping ability of the matching robot, the structure of the robot fixture is designed, the claw arm and driving device are optimized, the anti-skid rubber sleeve is added, and the automatic material catching and discharging device of the matching robot is designed. The moving coordinate system of the matching robot is established, and the mathematical model of the automatic grasping and discharging of the matching robot is constructed. The Gauss Newton method is used to solve the mathematical model of the automatic grasping and discharging of the matching robot iteratively according to the Taylor series expansion. By using the dynamic mechanical tool posture, adjust the robot's self defined world coordinate system posture, correct the matching robot's automatic grasping and discharging error, and realize the matching robot's high-precision automatic grasping and discharging. The experimental results show that the average accuracy of the proposed method is 92% and 95% respectively, and the defective rate is 0.89% and 0.64% respectively, which can effectively improve the accuracy of the method and reduce the defective rate.