It was the 11th win in the last 12 contests in the series for the Garnets and the 84th meeting in the series.
Cartier Johnson scored a big insurance touchdown for Rye (2-0) on a 5-yard run early in the fourth quarter.
Harrison (0-2) had pulled within 17-13 on touchdown pass from Joe Nannariello to Zach Evans late in the third quarter.
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