A method of polishing a semiconductor wafer includes polishing a surface of the semiconductor wafer using a polishing pad while supplying a polishing agent slurry containing abrasives during a first step. The polishing pad is free of abrasives and includes a first surface that contacts the semiconductor wafer, the first surface having a surface structure including elevations. Supply of polishing agent slurry is subsequently ended and, in a second step, the surface of the semiconductor wafer is polished using the polishing pad while supplying a polishing agent solution having a pH value of at least 12 that is free of solids.