In order to treat the problems of complex mathematical theory in the design of forming grinding wheel contour for complex spiral curved surface,a new numerical simulation method was proposed by integrating the coordinate system of workpiece and grinding wheel by coordinate transformation,and discretizing the surface model of workpiece and grinding wheel,then figuring out the discrete points’three-dimensional coordinates of space contact tracing line by numerical iterative algorithm,furtherly finding out the grinding wheel contour by coordinate transformation.This method has simple mathematical theory and is easy to program.Comparing with the result of analysis method,the data precision meets the requirements of product design.