The rapid development and broad application of artificial intelligence have promoted the overall leap in digital technology. However, intelligent attacks based on artificial intelligence technology have gradually become a new type of attack method. Traditional attack protection methods have been far from meeting the requirements of security protection. By predicting the future steps of the attack behavior and deploying targeted defense measures in advance, the opportunities and advantages can be obtained in the confrontation of intelligent attacks and system security is effectively protected. This study first defines the problem domain of behavior-prediction and intelligent attacks and outlines its related research areas. Then it combs the research methods of behavior-prediction for intelligent attacks, and introduces the classification and related work in detail. After that, the principle and mechanism of different types of prediction methods are explained, respectively. Each type's methods are further compared, discussed, and analyzed from the perspective of characteristics and adaptation scope. Finally, the challenges and future directions of intelligent attack behavior-prediction are prospected.