In recent years, as the forged face technology rapidly develops, the face synthesized has been extremely hard for the human eyes to identify, and the application of this technology by some criminals has badly threatened social stability and personal privacy, so the importance of forged face detection technology has become increasingly prominent. This review systematically discusses the current status of forged face detection technology, mainly from two aspects of forged face image detection and forged face video detection. In the aspect of forged face image detection, the methods based on the image spatial domain and frequency domain, identity consistency detection, and the application of face region localization technology are discussed. In the field of forged face video detection, the research focuses on the integration of spatio-temporal features, the utilization of physiological features, and the combination of audiovisual information. In addition, the study introduces the commonly used evaluation indicators and systematically analyzes a variety of important data sets, including their characteristics and application scenarios. At the same time, it also points out the limitations in the current literature, such as the lack of robustness of adversarial samples and the poor adaptability of detection methods to new forgery techniques. Based on these analyses, this study puts forward the possible research directions in the future, including the optimization of cross-domain detection technology, the exploration of new algorithms, and the study of the model interpretability. This review not only provides researchers with a comprehensive understanding of fake face detection technology but also points out the development direction for subsequent research, possessing high theoretical value and practical application significance.