Aiming at the problems of graphics trajectory in graphic programming and simulation verification for Delta robot, the Delta robot graphics algorithm and simulation verification method were presented. According to the complexity of robot trajectory, the basic graphics algorithm and complex graphics trajectory algorithm for Delta robot were designed on the basis of analysis of Delta robot kinematics control algorithm. To verify the algorithms for robots, the 3Ddynamic simulation system for Delta robot was developed using the mixed programming of MFC and OpenGL. The practical simulations verify the reliability of the robot kinematics control algorithms and graphics trajectory algorithm, and the value of the simulation system in the research for algorithm of Delta robot.