This paper analyzes the optimized learning path based on the behavior of student’s pattern by applying ant colony optimization algorithm in e-learning application. The behavior of pattern is analyzed based on the behavior of each particular students and the resource is analyzed through learning management system which can be used to predict the student’s motivation for the first time user. The student’s motivation is main factor for the successful completion of e-learning course. According to the knowledge of student’s motivation it provides the outcomes which to optimize the learning path.