[en] Hall effect in the mixed state of HTSC has anomalous character: near superconductor transition to normal state there is temperature and magentic fields region, where Hall effect sign is opposite to its sign in normal state. Phenomenologically generalized results of Bardin-Stefan's and Moziers-Vinen theory, complemented by due regard of a new mechanism of vortices ^friction^, connencted with Andreev reflection of electrons at the boundary between normal core and vortex superconducting periphery, from the basis of the model. In frames of suggested theory calculation of magnetofield (and temperature) dependences of superconductor longitudinal and Hall resistance in mixed state at close to critical temperatures, is carried out