[en] The scheme for acceleration of polarized deuterons at the Nuclotron accelerator facility includes a cryogenic polarized deuteron source 'Polaris', a 5 MeV/nucl. linac, a superconducting heavy ion synchrotron of a 6 GeV/nucl. energy with 10 s spill slow extraction, thin internal targets and wide net of external beam lines. This scheme also allows one to generate high energy polarized proton and neutron beams with well determined characteristics. There are two principal problems of polarized particle acceleration: to keep spin orientation during beam acceleration and to produce the high ion intensity sufficient for data taking in physics experiments. The first problem is discussed in this paper. The reasons of depolarization effects in the mentioned parts of the Nuclotron have been analysed and four methods of the polarization conserving have been suggested. They are the spin resonance strength compensation increasing of the resonance strength, the betatron tune jump and the spin tune jump. Among their number, the sufficiency of the last method, suggested by the authors, has been demonstrated in detail. (author)