Stewart mechanism is widely used in space docking. There are two ways to operate the docking: direct-operation with astronauts in space and teleoperation with operators in ground station. Considering that direct-operation cost is pretty high, teleoperation method was chosen. To avoid the time delay in transmission, plant's virtual model was used as predictor display in operators' workstation to give operators immediate feedback. Virtual model of Stewart platform and its environment was created by Creator and driven by OpenGVS. Ethernet was used to simulate the telecommunication channel with time delay and connect operators' workstation with Stewart platform controller, so the teleoperation experimental system was completed. For the docking usually occurs in the LEO(Low Earth Orbit), GEO(Geostationary Earth Orbit) and lunar orbit, round-trip time delay was set to different values between 0 and 4s in experiments. With each time delay, one-dimensional, two-dimensional and three-dimensional motion of Stewart platform was tested without and with predictor display. Experimental data was recorded, categorized and compared, then the operation efficiency improvements by use of predictor display were studied for each time delay and dimensional motion to obtain the range of time delay and motion complexity in which predictor display can be applied well.