Countersunk bolts are widely used in aircraft wing joints due to their ability to ensure surface flatness of the structure. Countersunk errors are inevitable in modern aircraft assembly processes. In response to the effect of different nail-compression methods on the bearing performance of composite interference single-lap structures with angle errors, countersunk angle errors and nail-compression methods were defined, and installation and loading tests were carried out to determine the influence of nail-compression methods on joint strength and damage morphology. For the same angle error, the ultimate tensile strength of the direct compression joint is lower than that of the diagonal compression joint. The ultimate tensile strength of the diagonal compression joint increases as the countersunk angle error increases. When the countersunk angle error is within 1°, the tensile strength of the direct compression joint is lower than that without countersink angle error. When the countersink angle error is greater than 2°, the ultimate load of the joint is greater than that without countersink angle error.