The trajectory interception and prediction system based on machine vision robotic arms is composed of a two degree of freedom robotic arm,a high-definition camera,a motion controller,and a driver. A high-definition camera captures images of small balls on a specific desktop. The motion controller and visual controller recognize the position of the ball and predict its sliding speed and route in real time. This article focuses on the trajectory prediction algorithm introduced by machine vision into the two robotic arms,which enables them to accurately intercept and hit the ball's movements. The article elaborates on the minimum quadratic fitting curve by minimizing the sum of squared errors to find the best function match of the data,and combines it with the matrix operation function of high-performance motion controllers,Implement the fitting process,ultimately proving the feasibility of the method and the feasibility of the algorithm.