The present invention proposes a stress analysis method for composite material interference connection under an action of tensile load. Based on a Lekhnitskii complex potential function theory and relationship establishment between joint hole edge deformation and a stress function, stress components throughout the hole edge are obtained by means of solution of hold edge deformation and stress function operation. According to the method, a stress state of the joint hole edge can be solved with knowledge of a material property, a size of external load, and an interference amount. The method is easy in usage and accurate in calculation, and can provide favorable theoretical support for analysis of structural strength and analysis of process parameters. The method can compensate for defects of an existing method in calculating time and use convenience, and provide a basis for structural strength analysis and damage prediction and reference for design of composite material structure interference in fit connection.