Adams, 44, also said in a statement posted on Twitter that "the image that this article describes is shockingly inaccurate."
"Some details are wrong, some are exaggerated, some are incorrect", Adams wrote on Twitter. "I would never have had inappropriate interactions with someone that I thought was a minor.
A woman, now 20, was identified by the Times by her middle name, Ava, because she was a minor at the time of her relationship with Adams.
She said she was 14 when Adams first contacted her in 2013. As a bass player they started a conversation about music that grew into graphic text exchanges and Skype video calls.
During a period of nine months when she was 15 and 16, the two reportedly exchanged more than 3,000 text messages, which were reviewed by the Times, some of which contained explicit photos of her when she was 16, according to the Times. They never met each other personally.
Adams often expressed concern about the girl's age, the report said. She also told the publication that she lied to Adams about her age.
CNN did not independently verify the accusations.
The FBI declined to comment on contact with CNN.
Adams' lawyer, Andrew B. Brettler, told CNN that the singer had no other comment than what he posted on social media.
The Times report also described situations in which Adams, known for songs like "New York, New York" and "Gimme Something Good," came into contact with women under the guise of helping them pursue a professional interest in music, to later to become sexual. advances. Musicians Phoebe Bridgers and Courtney Jaye shared their experiences with the Times.
Their representatives have not immediately returned CNN's request for comment.
"I'm not a perfect man and I've made a lot of mistakes, I apologize deeply and unconditionally to everyone I've ever hurt, no matter how unintended," Adams said in his statement on Twitter.
The ex-wife of Adams, Mandy Moore, also spoke with the Times and described cases of alleged psychological and emotional abuse.
"His controlling behavior essentially blocked my ability to make new connections in the industry during a very crucial and potentially lucrative time – my whole mid to late twenties," she told the Times.
Moore typified the behavior of Adams as & # 39; destructive & # 39; and & # 39; manic & # 39 ;.
Adams challenged Moore's account to the Times through his attorney, and called her image "completely contradictory to his view of the relationship."
The two are separated in 2016.
Moore currently shines in one of the top rated dramas of television, "This Is Us."
A representative for Moore did not immediately return the request from CNN to confirm her statements, but she addressed the article in an Instagram message Wednesday.
"Speaking your truth can be painful and trigger, but it's always worth it," she wrote. "My heart is with all women who have suffered some form of trauma or abuse. You have been seen and heard. #Sisterhoodforever."
"As someone who has always tried to spread joy through my music and my life, that some people believe I caused them pain, I am very sad," Adams added to his tweet. "I am determined to work to be the best man I can be and I wish everyone compassion, understanding and healing."
This story has been updated to reflect additional details in the next New York Times report.