Jeter also scored a run and Robinson Cano drove in two for the Yankees, who forced a fifth game in the best-of-five playoff at Yankee Stadium Thursday.
Brett Gardner drove in two runs and scored once, and Alex Rodriguez Jesus Montero each had one RBI and one run scored for New York.
A.J. Burnett (1-0) went 5 2/3 innings, holding the Tigers to four hits and one run -- on a fourth-inning home run by Victor Martinez -- and striking out three. Three relievers held the Tigers hitless the rest of the way and Yankees closer Mariano Rivera was able to take the night off.
Rick Porcello (0-1) took the loss for Detroit. He allowed four runs on five hits over six innings and struck out five. Three relievers were charged with six runs over the next 1 2/3 innings.
The Yankees led 4-1 heading into eighth, when they scored six runs.