Felton scored 25 points to go with seven assists and Chandler finished with 23 points and 10 rebounds for New York, which was playing without superstar center Carmelo Anthony (ankle).
The Cavaliers' Irving wore a face mask after sustaining a fractured jaw in Friday's loss against Milwaukee but it proved no hindrance as he poured in a career-high 41 points.
J.R. Smith ended with 16 points for New York, including a pair of game-clinching free throws. Steve Novak provided 13 points off the bench as the Knicks improved to 10-0 at home.
Anderson Varejao supplied nine points, eight rebounds and five assists for Cleveland but missed a potential score-tying free throw with 1 second remaining.