Celebrity site Perezhilton.com on Tuesday published a photo of the cover of People magazine's upcoming issue on which Aiken cradles his new son, Parker Foster Aiken, in his arms.
The caption reads "Yes, I'm Gay," with a quote from Aiken saying "I cannot raise a child to lie or to hide things."
In August this year, Aiken's friend, music producer Jaymes Foster, gave birth to the baby fathered by Aiken.
A spokeswoman for People would neither confirm nor deny that Aiken told the magazine he is gay.
For years, Aiken has dodged questions about whether he is homosexual despite persistent rumors on the subject.
Aiken came into the spotlight on the talent show "American Idol" in 2003 where he was a finalist. Though he did win not the top prize, he went on to have some success as in a post-idol career.