The Knicks led most of the game, going up 12, at 29-17 at the end of the opening quarter while the Hornets went more than four minutes without scoring.
Anthony hit eight of his first nine shots, forcing the Hornets defenders to increasingly gravitate to him. Then the rest of the Knicks, namely Felton, starting cashing in on open shots.
"You can see his leadership from Day One in training camp and tonight he was setting the table for us," guard Jason Kidd said of Anthony. "He's letting the game come to him and tonight he was good all the way around."
The Knicks led by 14 early in the second quarter before the Hornets briefly made it competitive again with a 13-0 run. The spurt included two 3s by Anderson, the second giving New Orleans a 36-34 lead.
It was still as close as 43-42 late in the second quarter after a tough driving floater by Rivers, but Felton made a pair of quick 3s during an 8-0 run that also included an 18-footer by Anthony, and the Knicks were quickly back up by nine before taking a 53-48 lead into halftime.
New York then opened the third quarter on a 10-4 run that included another Anthony jumper and Ronnie Brewer's 3 to make it 63-52. The lead remained in double digits from there on, growing as large as 26 on James White's fast-break dunk in the fourth quarter.
"They hit some tough shots, but our intensity was down," Hornets guard Greivis Vasquez, who finished with 10 points. "In the first four minutes of the third quarter they were up by 20 and that's the game. We can't allow these teams to get these leads like that."
NOTES: Davis is day to day and he is traveling with the Hornets on a four-game road trip that begins Wednesday night at Indiana. ... Knicks coach Mike Woodson was called for a technical foul in the first quarter by official Scott Foster. Woodson and Foster could be seen bickering shortly before the technical was assessed. ... Anthony has led New York in scoring in eight of the Knicks' first nine games. ...The Hornets have now given up 100 or more points in each loss during their current four-game skid.