In the framework of an ensemble of spin-polaron quasiparticles formed owing to the strong coupling between the spins of copper ions and holes on oxygen ions in cuprate superconductors, the temperature dependences of the Hall coefficient \(R_H\) for undoped, lightly doped, underdoped, optimally doped and overdoped regimes are calculated. The anomalous behavior of kinetic coefficients is considered beyond the relaxation-time approximation within the multi-moment method for solving kinetic equation. Dependences \(R_H(T)\) calculated in the four-moment approach for noted doping regimes demonstrate the main qualitative peculiarities of the dependences found in the experiments on the Hall effect in cuprates. It is shown that change of the hopping integral of oxygen holes influences on the modification of anomalous sharp drop and change of \(R_H\) sign observed experimentally at low temperatures in underdoped regime.
