Excessive emissions of acid gases, such as CO2, SO2, and H2S, have caused a range of threats to the environment, for instance, the greenhouse effect and acid rain. Traditional solvent absorption technology has been widely used due to its maturity and low costs. However, there are still some shortcomings, such as intensive energy consumption during the regeneration process, low-value compounds, etc. Recently, phase-change absorption, in which, the homogeneous solution forms two phases upon acid gas loading, and the acid gas mainly concentrates in one phase, has captured wide concern. This technology only needs to treat with the gas-rich phase during regeneration, resulting in the reduction of the regenerated amount and energy saving. Besides, the acid gas in rich phase could act as a modified raw material, which could be used to synthesize carbon/sulfur-containing chemicals, thus avoiding the regeneration process fundamentally. This review introduced the recent researches of phase-change absorption technology, which included CO2, SO2, and H2S gas. This technology was divided into liquid-liquid and liquid-solid phase-change absorption and its comprehensive advantages and disadvantages were summarized and compared. The two types of phase-change absorption technology should be considered comprehensively in practical application. At present, the mass absorption capacity was 1.56g SO2/g DMEA, 0.205g H2S/g DBN and the molar absorption capacity was 1.87mol CO2/mol (TETA/PEG200) in phase-change absorption process, which is reported as the super high value in the literature. This indicates phase-change absorption is a promising method in acid gas capture.