The relative stability of the isomeric σ-complexes formed in the sulfonation of pyrrole at the α-or β− position (the α-isomer is energetically more favorable) does not agree with the experimentally established positional selectivity of substitution (the formation of β-pyrrolesulfonic acid). However, quantum-chemical calculations of the energy parameters for the reaction of pyrrole and SO 3 with due regard to the solvation effect in the model solvent methylene chloride (ε = 8.93) lead to the conclusion that the calculated activation energy of the rearrangement to the more favorable β-pyrrolesulfonic acid for the less favorable β-isomer of the σ-complex is lower than on the path to the formation of the α-pyrrolesulfonic acid. It was shown that the significant increase in the polarity of the model medium in the transition to DMSO (ε = 46.7) does not lead to substantial change in the energy parameters of the reaction. The explanation for the positional selectivity during the sulfonation of pyrrole using Py⋅SO 3 , according to previous data, involves the participation of the pyridine in the transformation of the σ-complexes into the products. The calculations were made by the B3LYP/6-31G(d) and HF/3-21+G methods using the model of overlapping spheres to take account of solvation.Keywords: quantum-chemical calculations, B3LYP/6-31G(d) method, positional selectivity of substitution, sulfonation of pyrrole.Earlier [1] we undertook quantum-chemical calculations for the molecules of pyrrole, furan, thiophene, selenophene, and the corresponding benzannelated systems and hetarenium ions formed during their C-protonation by ab initio methods [MP2/6-31G(d)//RHF/6-31G(d)] and by density functional theory [B3LYP/6-31G(d)]. On the whole the results of these calculations agree with existing experimental data on the positional selectivity not only for the acid-catalyzed isotope exchange of hydrogen but also for other electrophilic substitution reactions of five-membered heterocycles with one heteroatom and their various derivatives. Only for the most active and least selective compounds (pyrrole and its N-substituted derivatives) are there discrepancies with experiment; calculations by these methods for the molecules of N-substituted pyrroles (substituents at the nitrogen atom R = Me, Et, i-Pr, t-Bu, CH═CH 2 , C≡CH, Ph, PhSO 2 , 4-O 2 NC 6 H 4 ) and the hetarenium ions formed during their -and -protonation predict a preference for -substitution [2], although cases of preferred or even exclusive -protonation are known for a series of reactions of similar _______ * Dedicated to E. J. Lukevics on his 70th birthday __________________________________________________________________________________________