In this study, the joint is presented for the screw under axial load. As the load and different boundary conditions, the screw will have non-uniform stress or stress concentration problem of a particular few teeth. Therefore, the screw will have local damage and be reduced load capacity. According to material deformation and stress theory, the study appropriate modify the gap of screw. The stress distribution of the contact part of the thread root was analyzed by ANSYS/LS-DYNA. Finally, the balance indicators of stress have been established as the reference of screw stress distribution. The results showed that the balance indicators of stress will decrease when the force and support in a different face and the nut’s pitch is constant, because nut have clearance. Nut tooth that near the end of force and support increase the gap when the force and support on the same side. Then the screw’s contact stress will be evenly distributed in the each tooth.