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"It has certainly never been news to me that a brave and brilliant man could love other men," Rowling told a news conference in Toronto, where she is attending an authors festival.
Rowling made the surprise revelation in New York last week, during her first US tour in seven years.
She said Dumbledore was once infatuated with the wizard Gellert Grindelwald, but the two became rivals when Grindelwald turned out to be more interested in the dark arts.
Dumbledore went on to destroy Grindelwald.
Reaction has been mainly supportive on fan websites, such as The Leaky Cauldron, where news of Dumbledore's outing has drawn more than 3,000 comments.
Rowling has declined to say whether her "outing" of Dumbledore might alienate those who disapprove of homosexuality.
"He is my character. He is what he is and I have the right to say what I say about him," she said.
Rowling said she made no revelations about Dumbledore's sexuality before last week, because she had never before been asked directly.
"People wanted so much information in advance of the story, that just to keep my sanity and keep my eye on my own plot, I did not give masses away ahead of time," she said.
The seventh and final book in the boy wizard series, Harry Potter and the Deathly Hallows, became the fastest selling book in history upon its release in July. It sold more than 11 million copies in the first 24 hours in Britain and the United States.
Possible prequel?
Rowling says she "probably won't" write a prequel to the series, but did not rule it out.
"Is that [a prequel] not a little bit Star Wars Episode I?" she quipped.
"I'm not going to say 'never' because 'never' in my life acts as a red rag to bull and I've immediately wanted to do whatever it is I said never to."
Instead Rowling says she might work on a Potter encyclopedia for charity, but only after a long break.
"It's like the break-up of a marriage. It's a good idea not to see each other for a while, then maybe you can be good friends afterwards," she said. © 2007 Australian Broadcasting Corporation