Kris Joseph's consecutive three-point plays to open the fourth quarter, part of a 24-4 stretch, gave Boston its first lead since the 7:34 mark of the first quarter.
The Knicks led 52-47 at halftime.
They stay in upstate New York to play Philadelphia on Monday in Syracuse, sending Anthony back to where he won a national championship in 2003 as a freshman, an NCAA tournament run that included a stop here.
Frank Vogel does have ties to Knicks president Phil Jackson.
Forward Anthony Tolliver hopes to re-sign with the Pistons.
Brian Windhorst says on Mike & Mike there is a disconnect between Pacers president Larry Bird and Frank Vogel and that he doesn't see Vogel returning as the coach of Indiana next season.