The description and main characteristics of the deformation methods of the GGD field and GPS measurements used to assess the stress-strain state of seismically active mountainous areas of the Black Sea coast of Krasnodar Krai and Kamchatka are given. It has been established that the technology of the GGD field cannot guarantee the isolation of all recorded anomalies that are generated by the same source of the upcoming earthquake, and its practical use for the purposes of seismic forecasting remains limited. GPS measurement networks are a more technologically advanced and scientifically sound technology for monitoring seismic and geodynamic hazards. An example of using measurements in GPS networks and a multidimensional statistics algorithm to calculate an estimate of the integral criterion of the stress-strain state of the environment during the period of seismic activity in the Sochi area in 2017-2018 is shown.