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The application discloses a cement ring micro-gap evaluation device, a differential pressure calculation method and an evaluation and correction method, relates to the technical field of well cementing integrity evaluation, and comprises a kettle body and a sleeve, the kettle body is coaxially arranged outside the sleeve, and an annular cavity is formed between the kettle body and the sleeve; a sealing element is arranged to seal the upper and lower ends of the inner cavity of the sleeve and the annular cavity; a pressure injection system and a pressure control system are arranged, the pressure control system is connected with the pressure injection system; the sleeve is elastic; further comprising a fluid supply assembly for providing fluid through the micro-gap; a pressure measurement assembly is arranged to measure the fluid pressure values of the upstream and downstream of the micro-gap respectively; and a metering element is arranged to be matched with the fluid supply assembly. The application can solve the problems of evaluation and prediction model verification of the sealing and seepage capacity of the micro-gap under different pressures, and provides a scientific and feasible technical scheme for well cementing integrity evaluation.