The 31-year-old first-time grand slam finalist was beaten 6-3, 6-3, 6-4 by Nadal in New York in the Spaniards 23rd grand slam final.
In an interview after his defeat, Anderson said despite losing he thought that he played pretty well in the final.
“I think the nerves that I was maybe going to feel, you know, I felt pretty good out there,” Anderson told reporters.
”I thought I was hitting the ball very well. “It was more the conundrum of playing Rafa as opposed to being in my first final.”
Nadal played near-perfect tennis on Sunday, never facing a break point and always looked in control of proceedings.
“Rafa made it very difficult for me tonight,” said Anderson. “I felt he got a lot of returns back. He varied his return position quite a lot. You know, one of the best defenders in our sport.”