The reaction of methane and hydrogen sulphide over MoS2 catalyst has been studied in a fixed bed tubular reactor over a temperature range of 973 to 1073 K under atmospheric pressure and for space time between 0.1 and 1 s. The Langmuir-Hinshelwood-Hougen-Watson theory has been used to determine eighteen (18) rival kinetic models. Model discrimination has been performed by using statistical and thermodynamic constraints. According to the proposed model, the rate-controlling step is the reaction among the absorbed species CH3, H2S and S on the catalytic surface with the participation of three catalytic sites. The catalyst selectivity is also discussed.