A capacitor can prevent a problem of step coverage in semiconductor device, caused by a thickness of an insulator film and an upper metal film included a metal-insulator-metal (MIM) capacitor, between the MIM capacitor region and its circumferential region. A capacitor in a semiconductor device includes a first metal film provided with a recess having a predetermined depth over a semiconductor substrate. An insulator film and a second metal film may be formed in the recess with a thickness corresponding to a depth of the recess. The insulator and second metal films are disconnected from an inner lateral side of the recess. A dielectric film including a plurality of plugs is in contact with the first and second metal films and the insulator film. A plurality of metal electrodes is in contact with the plugs over the dielectric film.