Los Angeles opened a seven-game road trip on a successful note, breaking open what had been a tie game at halftime by holding the Knicks to 34 percent shooting.
Griffin scored 32 points and had seven rebounds. Crawford went 10-of-11 from the foul line on the way to his 29 points.
New York lost its third straight after winning five in a row.
Carmelo Anthony led the Knicks with 26 points and a season-best 20 rebounds. J.R. Smith, who did not play in two of New York's previous four games in a dispute with Coach Mike Woodson, scored 24 points while playing 35 minutes.
The contest was the first of the Knicks' eight-game homestand.
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