In this paper, we show one of recent GIS-ENDDB algorithms: the algorithm of building seismicity lineaments in terms of Great circles of the Earth. We also show using some other GIS-ENDDB algorithms to identify and to confirm the possibility of existence of global tectonic structures of the lineament type in different geodynamic regions. The formalized lineament construction based on fundamental physical laws allows us to reconstruct the long-term geological processes within a single mechanism of the structure formation. Examples of application of this GIS-ENDDB algorithm show the importance of developing the methods of the lineament construction to solve fundamental geodynamic problems.