This article has the purpose of verifying the parallelism geometrical tolerance application on the response of single lap composite joints, riveted with two fasteners, for bearing test in tension, according to ASTM D5961 -procedure B, using for this finite element analysis software and short bibliographic review. It was also studied a more affordable for manufacturing alternative, with 1 mm of parallelism tolerance. Furthermore, it was mentioned variables on the composite joints obtainment which are more critical for its structural performance, as hole/fastener gap, pitch, fiber/matrix mating, lay-up and edge distance, for example, and, in conclusion, raised as a hypothesis, that an error in the order of magnitude of tenth millimeter of parallelism would not affect the bearing primary failure in a significant manner.