A two-tier Anycast addressing hierarchy enables deterministic traffic management in an Anycast system. Different locations of the Anycast system advertise a common Anycast cover route comprising a first-tier Anycast address with a first address prefix, and different specific routes comprising a set of second-tier Anycast addresses with a second address prefix, wherein each address of the set of second-tier Anycast addresses falls within the already advertised Anycast cover route, and wherein the second prefix is larger than the first prefix. Domain Name System (DNS) operation can resolve queries to the cover route when normal Anycast operation is desired or can be modified to resolve a subset of queries to a particular second-tier address in order to shift a deterministic amount of traffic based on the resolved subset of queries to a deterministically selected Anycast system location based on the location from which the particular second-tier address is advertised.