The traditional method uses the least squares method to evaluate the effect of satellite load noise on the recovery accuracy of the lunar gravity field, which means large number of complex calculations are needed. In order to recover the lunar gravity field more accurately and simply, the article establishes an expression of the noise power spectrum and analysis the errors from the accuracy of the satellite gravity gradient measurement, the orbital height and the period of running time on the recovery of the moon gravity field, And finally gives a reasonable indexes design of the lunar gravity gradiometry. The results show that the accuracy of the recovery of the lunar gravity field increases with the increase of the gradient measurement accuracy (10,5,1 and 0.1mE / Hz1/2), the decrease of the satellite orbit height (250, 200, 150 and 100km) and the running period (1month, 3months and 6months).