The biometric is a study of human behavior and features. Face detection and Face recognition is a technique of biometric. Various approaches are used for it. A lot of Face detection and Face recognition algorithms have been developed during the past decades. Face detection and Face recognition is emerging branch of biometric for security as no faces can be defeated as a security approach. The present paper presents several famous Face detection and Face recognition algorithms, such as Holisticbased, Feature based, Template matching and part based , knowledge-based, feature invariant and appearance-based methods.