PACS 71.55. Ht, 78.55.Fv In this work all vibrational transitions up to the second overtone of pair SH -ions in KCl were calculated. The interaction of the identical molecules, which are characterized by "exact" resonance (pairs n SH --n SH, n is a mass number) were researched. The "inexact" interaction (within pairs n SH --m SH -, m≠n) was also considered. In both cases the problem was to find wavenumbers and selection rules of vibrational bands from experimental data for single SH -ions in KCl. It was supposed that the dipole moment function is a linear function of the vibrational coordinate. Morse potential function was used as a model of internuclear interaction within SH -ions.