Abstract: The uniform wear of abrasives in the solid abrasives uncertain eccentricity plane lapping machining is the precondition to ensure the machining surface shape accuracy of the workpiece. According to the theory of uniform wear of abrasives in the solid abrasives plane lapping, the condition of uniform wear of the abrasives is discussed based on mechanical and kinematics analysis, and the trajectory equation and relative velocity of the abrasives relative to the workpiece are obtained, as well as the pressure distribution between the abrasives and the workpiece. The effects of structure parameters, swing parameters and speed ratio on wear of abrasives are analyzed. The results show that the optimum structure of abrasives are Δr=20 mm,α=45°, ε=3 mm, that the optimum swing parameters areφ=6°,T=1 s,e₀=60 mm and that the optimum speed ratiok_ωis 2.