The nucleoside deoxyribosyltransferase (nucleoside:purine (pyrimidine) deoxyribosyltransferase, EC 2.4.2.6) fraction catalyzing specifically the transfer of the deoxyribosyl moiety from a purine (or a pyrimidine) to a pyrimidine (or a purine) exhibits a broad specificity for the acceptor base. With a pyrimidine base as the acceptor a -OH or -SH group adjacent to the N-1 atom is essential. A substituent on position 6 hinders the reaction. On positions 4 and 5 various substituent were found to influence the reaction rate and some of them give non-competent substrates. A few anomalous cases are also discussed in relation with the role of N-3. Deoxyribonucleosides can also be obtained with non-pyrimidine rings.