In order to kinematic simulate the lapping process with the semi-fixed abrasive plate; a fractal modeling of the semi-fixed abrasive lapping abrasive plate’s surface topography is presented in this paper. A numerical procedure for effectively generating the semi-fixed abrasive lapping abrasive plate surface topography is suggested. The procedure is based on the fractal characteristic of the semi-fixed abrasive plate and the fractal dimension was obtained from the measured structure function of the abrasive plate surface used the Digital Microscope Resources Center. Numerical examples are used to illustrate the viability of the approach. It would be powerful to describe the complex interaction of the abrasive plate and workpiece.