The pseudorapidity behaviour of the azimuthal anisotropy parameters v1 and v2 of inclusive charged (h ± ) hadrons and their dependence on the centrality has been studied in Au+Au collisions at full RHIC energy of √ sNN = 200 GeV within the microscopic quark-gluon string model. The QGSM simulation results for the directed flow v1 show antiflow alignment within the pseudorapidity range |η| ≤ 2 in a fair agreement with the experimental v1(η) data, but cannot reproduce the further development of the antiflow up to |η| ≈ 3.5. The η dependence of the elliptic flow v2 extracted from the simulations agrees well with the experimental data in the whole pseudorapidity range for different centrality classes. The centrality dependence of the integrated elliptic flow of charged hadrons in the QGSM almost coincides with the PHOBOS experimental distribution. The transverse momentum dependence of the elliptic flow of identified (π ± , K ± , p,p) and inclusive charged hadrons is studied also. The model reproduces quantitatively the low-pT part of the distributions rather good, but underestimates the measured elliptic flow for transverse momenta pT > 1 GeV/c. Qualitatively, however, the model is able to reproduce the saturation of the v2(pT ) spectra with rising pT as well as the crossing of the elliptic flow for mesons and baryons.