A metal-insulator-metal (MIM) capacitor structure includes a first dielectric layer, a first damascene electrode layer, an insulating barrier layer, a second dielectric layer and a second damascene electrode layer. The first damascene electrode layer is formed in the first dielectric layer. The insulating barrier layer covers the first dielectric layer and the first damascene electrode layer, and is a single layer structure. The second dielectric layer is formed on the insulating barrier layer. The second damascene electrode layer is formed in the second dielectric layer and is contacted with the insulating barrier layer. The MIM capacitor structure can includes a dual damascene structure formed in the second dielectric layer and the insulating barrier layer and electrically connected to the first damascene electrode layer. A method for manufacturing the MIM capacitor structure is also provided.