The 22-year-old came from behind in the final set against the 2011 US Open winner to win the 20th title of her career after claiming the Korea Open in September.
“I think both of us played very good tennis out there,” said third seed Wozniacki.
“Sam has been playing well and I knew it wasn’t going to be easy, and it could have gone either way at the end, but I think at the right times I played the right shots.
“There were a lot of key moments, but they just went my way.”
Meanwhile, Stosur blamed her slow start to the final for her eventual loss after an intense two hours and 13 minutes.
“I got myself into quite a hole early in the match,” said Stosur.
“I managed to turn it around, and by the third it could have gone either way, but I think I was in too much of a hole to be allowed to get out.”
Wozniacki did not qualify for the WTA Championships in Istanbul which starts on Tuesday, and the former world No1 admitted it was a disappointment to miss out on the tournament.
“You definitely want to play Istanbul – there’s no doubt that’s one of the goals at the beginning of the year,” she added.
“But sometimes that just doesn’t happen. That’s sport sometimes, and I hope to be back there again.”
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