The Spartans (15-0) claimed their fifth state title since the event's inception in 2006.
Vitale scored 1-, 2- and 46-yards in the first half and De La Salle jumped to a 28-0 lead on a 4-yard run by quarterback Chris Williams. The Huskies (14-2) pulled to within 14 points three times in the second half on touchdown passes by quarterback Robert Webber but could not rally further.
Vitale suffered a sprained shoulder in the first quarter but played through it, De La Salle coach Bob Ladoucer said. Vitale had 143 yards on 26 carries, and Das Tautalatasi had 121 yards and a touchdown on 17 carries.
"I was proud of those guys," Ladoucer said. "They fought hard."
Centennial lost three of six fumbles, the last of which came at the end of a 35-yard reception by Chase Krivashei that was recovered by USC-bound linebacker Michael Hutchings. On the next play, Williams threw a 38-yard touchdown pass to Austin Lonestar for a 35-14 lead.
Centennial, which scored a state-high 756 points in 15 previous games, didn't score until 36 seconds remained in the first half on Austin Renken's 1-yard run.
"Nobody really stopped them well all season," Ladoucer said of Centennial. "I thought our defense stopped them enough and gave us good opportunities. They got the turnovers for us. And I was real proud of our offense. The last two games we played against them, we didn't move the ball real well, and tonight I thought they moved the ball real well."
De La Salle converted two Centennial first-half turnovers into 14 points to take a 28-0 lead with 3:32 remaining in the first half. The Spartans recovered a fumble at midfield and scored four plays later on a 46-yard run by Vitale. De La Salle was forced to punt on its next possession, but Krivashei muffed the catch, and Tim Powers recovered it.
Williams drove his team to the Centennial 3 and ran around the right side untouched for a 28-0 edge. The start was uncharacteristic of Centennial, which had several dropped balls. Webber completed 19 of 43 passes for 308 yards.
"I don't know what it was," Centennial coach Matt Logan said. "We certainly weren't ourselves in the beginning. We normally don't drop the balls that we did and do those kinds of things. But that's part of this process, and we have to learn from it and get better."
The Huskies pulled to 28-14 on their second offensive play of the second half when Krivashei caught a short pass from Webber and ran free for a 64-yard touchdown. Webber added an 8-yard touchdown pass to Ryan Pascarella to make it 35-21.
De La Salle then went on a 12-play, 80-yard drive, and Tautalatasi scored on a 4-yard run. Webber threw a 5-yard touchdown pass to Barry Ware midway through the fourth quarter.
Webber led Centennial with 61 yards rushing. Krivashei had 133 yards receiving on six catches, and Ware had 103 yards receiving on eight catches.