It's the fourth Grand Slam tournament title as a team for the top-seeded Black and Huber. They also won Wimbledon in 2005 and 2007, and the Australian Open in 2007.
They didn't drop a set at Flushing Meadows.
Black also won this year's U.S. Open mixed doubles title, pairing with Leander Paes to beat Huber and Jamie Murray.
The 10th-seeded Raymond and Stosur, the 2005 U.S. Open champions, also were the runners-up at Wimbledon this year, losing to Venus and Serena Williams in that final.
The Williams sisters didn't enter the U.S. Open doubles event.
Williams sisters win Wimbledon doubles title
Cara Black worries over Zimbabwe
Man charged with trying to blackmail Giants coach
