Acid gas injection (AGI) is not only one of carbon abatement technologies, but also one of the green technologies conducive to environmental protection because it can alleviate the sulfur supply and demand to some extent, and it can also reduce the potential frequency of acid rain. Therefore, AGI is increasingly affected by global concern. The Amu Darya right bank block in Turkmenistan is one of important sources of Chinese overseas natural gas exploitation. During the international development of this natural gas block, the adverse factors are taken into account according to uncertainty and volatility of the sulfur market and transportation, etc. It is found that acid gas injection is worthy of study and deep analysis with comparison to conventional sulfur recovery process technology. Limited to its special geopolitical and environmental characteristics, sequestration site selection of acid gas injection is particularly important in Central Asia. By reference to the selection principles of carbon dioxide sequestration site, a geoengineering method is proposed for acid gas injection, and the suitability evaluation of the Amu Darya right bank area is investigated for the potential sequestration of acid gases. Firstly, the suitability indicators are selected for sequestration site of acid gases, which include stability of geological structure of study area, earthquakes and faults, formation pressure, temperature, porosity and permeability of the reservoir, caprock, etc. Then, the indicators are assigned proper weighted coefficients according to the actual geological conditions of study area, and analytic hierarchy process (AHP) are used to conduct a basin level evaluation of sequestration suitability. Finally, according to micro facies of sedimentary environments and more detailed information of reservoir properties, a further analysis is carried out to seek a target zone of potential sequestration sites. It also points out the future work direction.