In this work, a modified three-dimensional discrete variable representation (MDVR3D) program, which could be used to calculate the bound state vibration spectrum of some triatomic molecules is developed. The sine basis functions are chosen to define the DVR for the radial coordinates for this new program. Both the three-dimensional discrete variable representation (DVR3D) program and the MDVR3D program are used to calculate the vibration energy levels of the isotopic species of hydrogen sulfide ([H.sub.2.supb.32]S, [H.sub.2][sup.33]S, [H.sub.2][sup.34]S, [D.sub.2][sup.32]S, [D.sub.2][sup.33]S, [D.sub.2][sup.34]S, [T.sub.2][sup.32]S, [T.sub.2][sup.33]S, [T.sub.2][sup.34]S). The calculated vibration energy levels from the MDVR3D program are consistent with the counterparts from the DVR3D program, which means that they are good procedures for calculating the bound state energy levels of the triatomic molecules and testing the quality of the potential energy surface (PES). The comparison of the experimental and theoretical vibration energy levels for the nine isotopic species of hydrogen sulfide molecule is made and shows good consistency. This work forms the basis for dealing with the rotational spectrum calculations and presents the irst theoretical results for [D.sub.2][sup.33]S, [T.sub.2][sup.32]S, [T.sub.2][sup.33]S, and [T.sub.2][sup.34]S. Future spectrum observations are needed to compare with these new results. PACS Nos.: 03.65.Ge, 31.50.Bc, 33.20.Tp. Nous developpons ici un programme modifie (MDVR3D) de representation de variables discretes en trois dimensions, qui peut etre utilise pour calculer le spectre des etats lies de vibration dans certaines molecules triatomiques. Les fonctions sinus ont ete choisies comme base pour deinir la representation en variables discretes (DVR) pour les coordonnees radiales de ce programme modiie. Nous avons utilise la representation en variable discrete (DVR3D) et notre version modiiee (MDVR3D) pour calculer les niveaux d'energie de vibration de variantes isotopiques du sulfure d'hydrogene ([H.sub.2.supb.32]S, [H.sub.2][sup.33]S, [H.sub.2][sup.34]S, [D.sub.2][sup.32]S, [D.sub.2][sup.33]S, [D.sub.2][sup.34]S, [T.sub.2][sup.32]S, [T.sub.2][sup.33]S, [T.sub.2][sup.34]S). Les niveaux d'energie de vibration calcules avec le programme MDVR3D sont en accord avec celles du programme DVR3D, ce qui signiie que cette procedure est adequate pour calculer les niveaux d'energie de molecules triatomiques et pour tester la qualite des parametres de la surface d'energie potentielle (PES). Nous comparons les resultats de nos calculs avec leurs contreparties experimentales et nous trouvons un bon accord. Ce travail nous donne une base pour nous attaquer au calcul du spectre de rotation des triatomiques, tout en presentant les premiers resultats theoriques pour [D.sub.2][sup.33]S, [T.sub.2][sup.32]S, [T.sub.2][sup.33]S, and [T.sub.2][sup.34]S. Nous avons besoin de plus de resultats experimentaux pour comparer avec ces nouvelles donnees theoriques. [Traduit par la Redaction], 1. Introduction The hydrogen sulfide molecule ([H.sub.2]S) has been the subject of numerous experimental spectroscopic studies [1-6] due to its importance in the chemistry of the atmospheres of Venus and [...]