The nine justices ruled from the bench following a hearing yesterday on Anthony Barnaby and David Caplin.
They are Canadian Micmac Indians who were working construction in the New Hampshire city of Nashua when Charlene Ranstrom, 48, and Brenda Warner, 32, were bound, beaten and stabbed to death in their home in October 1988.
Police said new DNA evidence and witnesses justify extradition. The Canadian government ordered their removal in 2011, but their cases have been under appeal since then.
Officials dropped first-degree murder charges against Caplin after courts threw out much of the evidence. Prosecutors at the time said the balance of their evidence against him was circumstantial.
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Nashua detectives, with the support of the cold-case unit at the attorney general's office, agreed to reopen the investigation into the deaths in 2010. They re-interviewed witnesses, which led them to some new information.
Mark Sisti, who defended Barnaby years ago and worked on his extradition case, said he's stunned that it is being resuscitated. "It's absolutely outrageous," he said. "I can't even imagine this thing coming back here.