This invention provides for the integration of metal-insulator-metal (MIM) capacitors with the damascene interconnect structure and process. The method includes forming a damascene interconnect structure and a MIM capacitor damascene structure wherein a diffusion barrier material forms the capacitor electrodes. The method includes forming a MIM capacitor damascene structure through an interlevel dielectric layer and terminating on a diffusion barrier material instead of a conventional dielectric etch stop layer. In alternative embodiments, the integrated damascene MIM capacitor makes up part of semiconductor device such as DRAM memory, CMOS, or a high frequency device.