Friction drilling is a method of hole-making process by forming. Rotating pointed tool without cutting edge presses sheet metal work piece. The friction heating at the interface between the tool and the work piece enables softening, deformation and displacement of work material and creates boss and bush without generating chips or waste materials. Resulted boss and bush height provide increased hole surface area to increase the fastening strength of the sheet metal through soldering, brazing, and screw fastening. Experimental study was conducted to obtain empirical models the effect of friction drilling process variable with carbide conical shaped tool of 8 mm diameter, work piece of 2 mm copper sheet C10100 to the boss and bush height. Empirical models of boss and bush height was obtained through Central Composite Design and response surface methods. From the research, it can be identified that the empirical models of boss and bush height is in the forms of second order polynomial equation.