The New York Giants have cut star CB Janoris Jenkins days after calling a fan the r-word ... and then refusing to apologize.
Jenkins used the word -- often used to mock people with special needs -- to insult a fan on social media who had been critical of Jenkins recent play.
When pressed about using the word -- which has been condemned by organizations like the Special Olympics -- Jenkins shrugged it off and said it was just "hood" talk.
The Giants weren't satisfied with Jenkins' "apology" ... so the organization made the decision to fire the Pro Bowler on Friday.