Friction model for a soft workpiece deforming against a textured tool surface was established. The model takes into account the plastic wave motion appearing, when the workpiece material flows into and out of local pockets between the flat plateaus of a table mountain like tool surface topography. The model was evaluated by strip reduction test, which emulates the tribological conditions in an ironing process. The study included testing of two different lubricants, a plain mineral oil with a high viscosity, and a mineral-based oil with boundary lubrication additives having a medium viscosity. It was found out that an optimum amount of tool texture exists which reduces friction and thus draw load for the table-mountain-like tool surface topography. The overall friction factor in the interface between workpiece and textured tool surface can be satisfactory predicted.