The increase of building complexity causes the raise of requirements for accuracy of geodetic observations and the necessity to revise the variety of factors influencing the measurement results. Such factors include the lunar influence on the gravity intensity and direction. The necessity of correcting geodetic observations by the lunar influence and estimation of their highest influence on the Earth gravity and vertical deflections are outlined. The results obtained from the computational experiment on extreme values estimation of vertical deflections (up to 1''), variations of measured heights (up to 0,5 mm by 100 m) and gravity variations (up to 5,44 × 10^(-5) m∙kg / с^2) are sufficient to modify the existing techniques for precision leveling and gravity observations. Another argument in favor of the need to take into account the Moon influence and other factors is the accuracy increase of geodetic instruments (levels and gravimeters).Without changing the method of performing high-precision leveling and gravity measurements and entering the necessary corrections, real accuracy increase of these works can not be achieved. In this case, the ideas about the accuracy achieved, for example, when it is estimated by internal convergence, will be overestimated.