Abstract. We present program GITAN for symbolic computation of the class of polynomial Hamiltonians and formal integrals with the help of ordinary and inverse Birkhoff-Gustavson normalization based on the algorithm ANFER using a conventional pseudocode. The corresponding algorithm of the program QUANTGIT for a semiclassical quantization of the BGNF is described too. Typical examples for a hydrogen atom in external fields demonstrating the runs of the above algorithms and programs as input and output data are given. A comparison of the obtained semiclassical spectrum and its quantum counterpart calculated by the POINTFIELD program is shown.