The invention discloses a laser vision positioning correction method for cutting a complex workpiece by a robot. The method comprises the following steps of step 1, changing a coordinate system, namely switching a coordinate system of the robot into a world coordinate system; step 2, confirming coordinates preliminarily, namely carrying out trial teaching on three scanning positions of a laser vision sensor on the inner circle of the workpiece in the world coordinate system, randomly determining three points and finding coordinates of the points A1, A2 and A3; and step 3, calculating a centerposition, namely calculating a center point A. The invention relates to the technical field of plasma cutting industrial robots. According to the laser vision positioning correction method for cuttingthe complex workpiece by the robot, a cutting track is cut in the workpiece coordinate system, a laser vision positioning system is applied, a workpiece coordinate system is established, and the trail teaching is carried out on the cutting (welding) track on the basis of the workpiece coordinate system, so that the welding track can be corrected only by repositioning the workpiece coordinate system through the laser vision positioning system when the workpiece is replaced, and the method is small in programming amount and easy to understand.