Embodiments herein provide a method applying a common Discontinuous Reception (DRX) configuration at a User Equipment (UE) in a multi-connectivity mode. The method includes detecting, by the UE, a common DRX criterion. Further, the method includes forcing, by the UE, the DRX ON state of the first DRX cycle to a DRX OFF state. Further, the method includes forcing, by the UE, the first DRX cycle to wake up when one of a second DRX cycle transits from the DRX OFF state to the DRX ON state and a common DRX time period expires.