The two-level hierarchical methodology is suggested for conformational calculations of large fragments of nucleic acids. The method of the first level is intended for performing a fast screening of the conformational phase space. The high-level method may be used to refine structurally important conformations. The method of the first level is the block-units method, which has been developed specially for these purposes (see part I). It has been shown that the block-units method allows the satisfactory calculation of the structure parameters of the optimal conformations of polynucleotides. The results of the conformational rearrangement calculations of the T psi C loop of the tRNA(Phe) after modification of its sequence are represented.