The inner concave cable arch structure has been adopted in some engineering applications in recent years. Geometric configuration of the cable clamp joint and its anti-sliding performance is the key to assure the bearing capacity for this type of structure. In this study, nonlinear finite element analysis on the cable clamp joint of a concave cable arch is performed using ABAQUS, with influences of the friction coefficients and the nonlinearity of materials are investigated. The pretension loss of bolts caused by different tightening sequences is also discussed. It is found that nearly 9% of the initial pretension force for each bolt gets lost during the tightening process, and mutual influence of the bolts can be significantly weakened by applying reasonable tightening sequence.