EHD(elastohydrodynamic) lubrication theories are applied to analyse the contact characteristies between the circular are profiled teeth of the plano-wheel gear and the cylindrical pin type teeth of the inner gear for the planocentric gears unit, For improving lubrication characteristic and contact frictional interference between the teeth, a new design method of optimising continuous meshing position is introduced, and the new tooth profile which is modified as a rounded curvature of the edge of circular arc is also suggested. The results of mathematical computation from conventional and the modified gear unit are compared, respectively.