According to the classical tectonics theory, lithosphere is divided into more than twenty plates that are considered absolutely rigid. However, modern astronomical observations reveal deviations from the standard theory. Used mathematical apparatus of lithospheric tectonics does not satisfy the present observations due to newly discovered facts. This work is aimed at expansion of velocities of the global geodetic network stations into vector spherical harmonics series as a new approach to the lithospheric tectonics theory. Velocity data according to ITRF2008 for more than two thousands stations of the global geodetic network by the Jet Propulsion Laboratory were used. The expansion was made under the assumption, which postulates division of field into toroidal and poloidal components. Spherical harmonics coefficients up to fourth degree are obtained for corresponding components and a preliminary attempt of its geophysical interpretation is given.