Abstract: [Problem] To improve polishing efficiency while lowering shear force added to semiconductor wafers while increasing polishing speed, without damaging the wafer's processing surface or the membrane under it. [Solution Method] Pressing the revolving head or carrier 34 that holds fixed the semiconductor wafer 10 to the polishing pad or polishing cloth 30 attached to rotating polishing table 32 in this CMP device and while rotating carrier 34 and polishing table 32 respectively, and supplying liquid slurry to polishing pad 30 from nozzle 36, planarization by chemical processes and mechanical processes is carried out by removing membranes of the lower face of semiconductor wafer 10 (the processing surface). The chemical mechanical polishing process of the present invention in regard to the size of the relationship between the rotation rate of semiconductor wafer 10 fW and the number of rotations of polishing pad 30 fP has 3 fp<fW as its lower limit and 4 fp<fW<8 fp is ideal conditions.