Crustal thickness (Moho surface relief) is closely related to geotectonic, which is the predominant research topic in lunar geophysics. For lunar crustal depth inversion, to address the problem of downward continuation in traditional spectral domain methodologies, we adopt a solution from gravity disturbance (geophysical gravity anomaly). It is available to investigate crustal thickness at arbitrary surface outside the geoid. Using gravity data from the Gravity Recovery and Interior Laboratory (GRAIL) mission and terrain information recovered from the Lunar Orbiter Laser Altimeter (LOLA) mission, global crustal depth of the Moon is recovered by the extended Vening Meinesz-Moritz method. The first application result of this technique on the Moon is validated by four types of released models in the form of spherical harmonic expansion with 310°. Moreover, from the statistics, our lunar Moho solution demonstrates that the average crustal thickness is approximately 41.5 km. The maximum value of 83.1 km and the minimum value of 0.8 km are located in the area of high mountains and Moscoviense mascon, respectively.