Tectonophysics is a new branch of geophysics and has be developing very fast since 1970s. This paper in details reviews its technical trance and current results of lithospheric geophysical investigations, especially on study of the lithospheric attribute, phases and mass motion. In plate tectonics, the oceanic lithosphere is rigid with no mass movement inside the plates. However, the continental lithosphere is completely rigid with mass movement in the lower crust inside the plates. Therefore intra plate deformation and mantle origin magma extrusions can heavily occur in the continents. New mission to the Earth Geophysics should focus at locating rheological rocks. In the lower crust by applying 3D geophysical imaging methods, and finding continental mass motion regularities. On the other hand, attention at basic researches on earthquake prediction and oil/gas exploration in deep sedimentary basins must be paid in order to contribute to the sustainable development of human society.