In order to analyze the distribution of load capacity of Delta robot in practical application, the torque transmissibility of robot was discussed. A simple and efficient method based on Monte Carlo to draw Deltas workspace was presented. Expression of inverse kinematics of the robot was derived, selecting the area of continuous reachable workspace as practical workspace whose inverse kinematics expression was unique, and based on this to determine the theoretical maximum height of an object for a Delta robot to grasp. Graphs of torque transmissibility of the robot were drawn on different cross sections along the z axis in practical workspace of the robot. The results of simulation indicate that the positions of better torque transmissibility of Delta robot are generally symmetrical distributed, smallarea concentrated and overall scattered, and the load capacity increases with increasing the height of the cross section.