Distributed Denial-Of-Service (DDoS) attacks are one of the all the more difficult security issues on the Internet today. They can without much of a stretch, fumes the assets of the potential Victims. The issue is much more extreme since the aggressors regularly produce their IP delivers to shroud their character. The current guard mechanism against DDoS attacks, the attack traffic will be filtered at the victim’s side. For this situation, regardless of whether the attacking traffic is filtered by the victim, the attacker may achieve the objective of blocking access to the victim’s bandwidth. IP-Traceback approaches enable the victim to traceback to the wellspring of an attack and they will not be able to minimize the attack when the attack is in progress. Hence in this work we proposed a hybrid method to minimize the quantity of malicious packets entering into the network. We introduce a quantum annealing technique at the server side to identify and mitigate the DDoS attack. The attack messages are minimized by utilizing client puzzle as a part of the ingress router; the path fingerprint is used at the egress side. Simulation studies prove that the proposed mechanism is optimally successful in recognizing and mitigating the DDoS attacks.