In order to ensure the reliability of the contact stress distribution on the hole boundary of the composite mechanical connection structure by the using of finite element method, this paper compared typical contact detection technology and contact constraints implementation technology in accuracy and applicability. The basic principles and characteristics of two contact detection technologies, including small sliding contact detection and finite sliding contact detection, and three contact constraints, including Lagrange multiplier method, direct constraint method and penalty function method are studied in detail. In order to validate the accuracy of different contact algorithms, the commercial finite element analysis software Nastran, Marc and Abaqus were utilized as stress analysis platform, and the numerical simulation results were carried out to compare with the test result of bolted joints composite laminate. The results indicated the finite sliding contact detection technology and penalty function method are more suitable for the finite element analysis of composite mechanical joints.