To study the deformation regularity of cycloidal gear during grinding process,the normal and tan-gential forces of single abrasive was applied to the gear groove of cycloidal gear,and a finite element model for the grinding deformation of cycloidal gear was established based on the mathematical model of the grinding force of a single abrasive grain.The deformation regularity in the grinding process and the effects of grinding speed,grinding depth,and axial feed speed on the deformation of cycloidal gears were studied.The results show that in grinding the same gear groove,the deformation produced is decreased and then increased with the feed of the grinding wheel.The maximum deformation is 2.29 μm in the cut-in stage of the grinding wheel,and the mini-mum deformation is 2.01 μm when the grinding wheel is fed to 1/2 of the gear groove.When the grinding wheel feed is about to leave the gear groove,the deformation is gradually rised to 2.25 μm.When the grinding speed,grinding depth and axial feed speed are in the range of 50-65 m/s,20-50 μm and 1500-7500 mm/min respective-ly,the deformation of the cycloidal gear grinding process is increased with the increase of grinding depth and axial feed speed,and is decreased with the increase of grinding speed.The maximum deformation is 2.29 μm and,the minimum deformation is 1.04 μm.