Neagle (2-0) won his fifth straight start overall, including his final three with the Cincinnati Reds before being traded to the Yankees on July 12. He struck out eight and walked one in his first complete game since Aug. 16, 1998, against Los Angeles with Atlanta.
The left-hander got a standing ovation after getting Jose Canseco to foul out to catcher Jorge Posada to end the game. Posada gave Neagle the game ball as the Yankees poured out of the dugout to congratulate him.
Neagle retired 13 straight batters from the last out of the second through the sixth inning. Greg Vaughn led off the seventh with a double, just the second hit for Tampa Bay. Vaughn reached third when Fred McGriff followed with a fly ball that fell in for a double in right center and scored on Bubba Trammell's groundout.
Chuck Knoblauch led off the bottom of the fourth with a single to left and scored on Jeter's double to left-center. One out later, Bernie Williams doubled to deep center, scoring Jeter for a 2-0 lead.
The Yankees added three runs in the fifth as Posada lined a single to center and went to second when Scott Brosius' single went off the glove of shortstop Felix Martinez.
On Jose Vizcaino's sacrifice, starter Bryan Rekar threw the ball over the head of McGriff at first, allowing Posada to score, Brosius to reach third and Vizcaino second. Sacrifice flies by Knoblauch and Paul O'Neill made it 5-0.
Rekar (3-6) allowed five runs three earned on seven hits and two walks in seven innings, striking out five.
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