Abstract: Aiming at the precise orbit determination of Space gravitational wave detector, LISA（Laser Interferometer Space Antenna）is selected as the research object to establishs the target simulation environment, detect simulates the generation of the ranging and velocity measurement data at different stations by American Deep Space Network（Deep Space Network）Network（DSN） and China Deep Space Network（CDSN）. The accuracy of LISA orbit determination is investigated in terms of the tracking arc length, measurement data types, also the quantity and distribution of ground stations by utilizing the Nonlinear Weighted Least Squares （WLS） and Monte Carlo（MC）methods. The simulation results show that: ① Increasing the tacking arc length can effectively improve the orbit determination precision. Moreover, the position accuracy of the estimated detector reaches 92m when the tracking arc is 20 days; ② Under the current measurement accuracy, the performance of the LISA orbit determination is considerably determined by the ranging data. The combined ranging/Doppler orbit determination method gains a growth of 32.23% and 99.52% estimating position accuracy, compared with the only ranging and only Doppler orbit determination strategies, respectively; ③ By utilizing multiple deep space networks, the common viewing rate of multi stations increases markedly, improving the accuracy and the convergence of the orbit determination. The performance of the joined DSN/CDSN orbit determination scheme is compared to the only DSN scheme by different arc lengths, with an increment of the average position accuracy of 43.73%.