It is established that taking into account the development of geodynamic and technogenic processes in the development of the Kuzbass subsoil is an actual and multifaceted problem. Its solution is impossible without the creation of new models of deformations of blocks of the earth's crust. These processes are related to the kinematics of these processes. Flat models of the earth's crust are used to collect information about them, which do not provide adequate blocks of the earth's crust. A comprehensive approach based on the integration of Earth Sciences has been applied to implement new models of deformation of the earth's crust blocks. The theory of movements of blocks of the earth's crust of different ranks is developed, taking into account the hierarchy of the strained-deformed state of the earth's crust of Kuzbass for conducting its control. The practical use of the developed theory ensures the development of new methods of geomechanics and the expansion of information on the development of geodynamic and technogenic processes in the development of the Kuzbass subsoil.