For studying the interfacial pressure distribution regularity of shrink-fit cylinder with eccentricity，the mathematical model about interfacial pressure of shrink fit cylinder with eccentricity was established. The theoretical value of the mathematical model was identical with the data of finite element analysis (FEA) by comparing the result that based on an actual project with that of FEA. Beyond that, it is known from the mathematical model that the interfacial pressure of cylinder represents uneven distribution, and decreases gradually around the circumference.