Many research groups have become interested in the flexible capacitive pressure sensor in recent years. It has many applications, such as electronic skin and fingerprint collection devices. One of the challenges is optimizing the sensor's design, which can be achieved by improving its sensitivity. The flexible capacitive pressure sensor outperforms other pressure sensors in terms of efficiency, response time, and cost. In the future, more applications will use the flexible capacitive pressure sensor as the component. Thus, improving its sensitivity becomes significant. The topic of this review is to briefly introduce the flexible capacitive pressure sensor's mechanism, how to achieve high sensitivity and any potential applications that already exist in the market. It will also go over some experiments to improve the sensor's sensitivity and their benefits. In the end, the future expectations of the capacitive pressure sensor will also be discussed. The topic of this review will be significant to the development of electronic devices.