Real time system technology traditionally developed for safety critical systems, has now been extended to support multimedia systems and virtual reality. A large number of real-time application, related to multimedia and adaptive control system, require more flexibility than classical real-time theory usually permits. This paper proposes an efficient adaptive scheduling framework in real-time systems based on period adjustment. Under this model periodic task can change their execution rates based on their importance value to keep the system underloaded. We propose Period_Adjust algorithm, which consider the tasks whose periods are bounded as well as the tasks whose periods are not bounded.