In a capacitor of an analog semiconductor device having a multi-layer dielectric film and a method of manufacturing the same, the multi-layer dielectric film can be readily manufactured, has weak reactivity with corresponding electrodes and offers excellent leakage current characteristics. In order to obtain these advantages, a lower dielectric film having a negative quadratic VCC, an intermediate dielectric film having a positive quadratic VCC, and an upper dielectric film having a negative quadratic VCC are sequentially formed between a lower electrode and an upper electrode. The lower dielectric film and the upper dielectric film may be composed of SiO.sub.2. The intermediate dielectric film may be composed of HFO.sub.2.