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The Celtics scored 12 unanswered points to start the game before the first quarter finished with a lopsided scoreline of 34-11 in the visitors' favour.
As in the first quarter, the Celtics scored 34 in the third as they stretched their lead to 36.
The fourth was a lower-scoring contest as the game finished 114-73, with Crawford, who also contributed seven assists and three rebounds, finishing on 23 points to lead all scorers.
New York's top scorer was Carmelo Anthony, who managed 19 points on 5-15 shooting.
The Celtics improve to 10-12, while New York remain bottom of the Atlantic Division on 5-14.