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To improve the performance of a CMISFET having a high-k gate insulating film and a metal gate electrode. An n-channel MISFET has, over the surface of a p-type well of a semiconductor substrate, a gate electrode formed via a first Hf-containing insulating film serving as a gate insulating film, while a p-channel MISFET has, over the surface of an n-type well, another gate electrode formed via a second Hf-containing insulating film serving as a gate insulating film. These gate electrodes have a stack structure of a metal film and a silicon film thereover. The first Hf-containing insulating film is an insulating material film comprised of Hf, a rare earth element, Si, O, and N or comprised of Hf, a rare earth element, Si, and O, while the second Hf-containing insulating film is an insulating material film comprised of Hf, Al, O, and N or comprised of Hf, Al, and O.