The article deals with the matters of creating an integrated navigation system using measurements of the Earth`s gravitational and magnetic fields’ parameters (EGF and EMF). Such a system is to contain a strapdown inertial navigation system (SINS), as well as sensors for the current parameters of the EGF and EMF. Its simulation was carried out. As a result it was found out that, due to the use of information on the parameters of the EGF and EMF, an error of several hundred meters can be obtained. Based on the results of full-scale tests of the created integrated navigation system for the EGF and EMF, a real error of 900 m was obtained with a correction interval of SINS readings of 4 minutes. According to the results of modeling and testing of the mentioned system, the main tasks and ways to solve them are identified. The requirements for measurers of geophysical fields’ parameters and navigation charts are considered, a number of new navigation meters, new methods and tools for preparing navigation charts are proposed. The ways of developing relativistic geodesy and the possibility of using the gravitational-wave astronomy achievements in gravimetry are considered.