A MEMS capacitive pressure sensor is provided. The MEMS capacitive pressure sensor includes a substrate having a first region and a second region, and a first dielectric layer formed on the substrate. The capacitive pressure sensor also includes a second dielectric layer having a step surface profile formed on the first dielectric layer, and a first electrode layer having a step surface profile formed on the second dielectric layer. Further, the MEMS capacitive pressure sensor includes an insulation layer formed on the first electrode layer, and a second electrode layer having a step surface profile with a portion formed on the insulation layer in the peripheral region and the rest suspended over the first electrode layer in the device region. Further, the MEMS capacitive pressure sensor also includes a chamber having a step surface profile formed between the first electrode layer and the second electrode layer.