The lawsuit was originally filed in October and was refiled on Sunday to list Mr. Carter as a defendant.
The BBC has contacted Mr Carter’s lawyer Alex Spear and his publicist for comment.
The lawsuit was filed by Texas attorney Tony Busby under New York’s Gender-Based Violence Victims Protection Act.
In recent months, Mr. Busby has filed several lawsuits accusing Mr. Combs of assault and rape. The criminal trial of the hip-hop artist should take place on May 5.
Mr Carter said in a statement posted on social media: “My solicitor received an attempted blackmail, a so-called demand letter, from a ‘lawyer’ named Tony Busby.
“He calculated that the nature of these allegations and the public attention would force me to agree.
“No sir, it backfired! It made me want to expose you for the fraud you are doing VERY publicly. So no, I will not give you ONE RED PENNY!!”
In a statement, Mr Combs’ legal team said the amended suit was the latest in a series of “shameless publicity stunts aimed at extracting payments from celebrities who fear that lies will be spread about them, just as lies have been spread about Mr Combs “.
The statement said the trial would show Mr Combs was innocent of all charges against him. He faces 30 more lawsuits.
The accuser, identified only as “Jane Doe,” said in a court filing Sunday that in 2000, when she was 13, a friend dropped her off at the VMAs at Radio City Music Hall in Manhattan.
She approached limousine drivers near the venue to try to gain access to the show, according to the lawsuit.
One driver told her he worked for Mr. Combs and that she “matched what Diddy was looking for,” the lawsuit said.
Later that evening, the chauffeur drove her to a party at the White House, according to the lawsuit.
