The article includes the results of theoretical studies of the accuracy of geodetic height survey and marks points on the Earth's surface using satellite technology. The dependence of the average square error of geodetic heights difference survey from the distance to the base point was detected. It is being proved that by using satellite technology one can define vertical displacements of the Earth's surface with accuracy sufficient for practical application. It was revealed that the use of positioning methods after the signals of global navigation satellite systems GPS and GLONASS (GNSS) for geodetic purposes has begun in Russia in the beginning of 90-s of the last century. Their essential advantages compared to traditional survey methods were revealed. These include a wide range of accuracies (from tens of meters to millimeters), independence from weather, time of day and year, absence of necessity for mutual visibility between points, high automation and, consequently, efficiency, ability to work continuously and in motion. These qualities have led to high performance and economic efficiency of GNSS, which is particularly noticeable in remote and unpopulated areas occupying a large part of our country. Currently, according to the results of the measurements by double-frequency satellite receivers the mean square error of coordinate increment calculation was reached equaling to 3 mm+1-10"bD, where D is the distance between the satellite receivers. But exceedances between the very same points can be obtained with the mean square error of 10-30 mm, which greatly increases along with the increase of the distance (D) to tens of kilometers. In traditional geodesy height and exceedances surveys are conducted relative to the surface of quasigeoid, which means that measurements are based on physical principle of measurements. As a result, geodetic networks built by traditional methods can be divided into planimetric (B and L) and vertical control H1 networks, which are almost unrelated. In this regard, for the purpose of enhancing the effectiveness of geodetic application of the satellite leveling, methodology and technological support of satellite measurements require improvement.