Based on the measurement of the surface topography of rolled steel strip，the phenomenon and rules of surface topography transfer were analyzed. Combining with the worn surface topography of roll and the distribution of lubrication oil，the transfer model of surface topography in cold rolling was established，and by which the simulation results were verified by measured data. A set of roughness parameters were introduced to analyze the effect of lubrication film thickness on the transfer performance of electrical discharge textured roll surface topography. Numerical examples show that the roughness parameters Ra of transfer ratio decreases with the increase of oil film thickness，when the surface topography of roll under different worn condition. Furthermore， with the surface topography wear of roll， Pv of transfer ratio remains when the oil film thickness is thin，but rapidly decreases with the increase of oil film thickness when the oil film thickness is thick.