In an IP network during a DDoS attack on a website or other internet entity having an IP address, selective black-holing of attack traffic is performed such that some of the traffic destined for the IP address under attack continues to go to the IP address under attack while other traffic, destined for the same IP address is, rerouted via BGP sessions to a black-hole router. Such a selective black-holing scheme can be used to allow some traffic to continue in route to the IP address under attack, while other traffic is diverted.