The teams also met in pool play on Friday with New Zealand winning, 24-7.
But that was not before the Cheetahs had taken a 12-10 lead at the break.
There was to be no first Dubai title for United States, though, as tries by Dylan Collier and Ngarohi McGarvey-Black ensured it would be New Zealand celebrating a long-awaited sixth Dubai title.
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Later in the year he would finish second at the PGA Championship, then win the Tour Championship, his first victory since 2013. He ended a busy stretch a year ago by winning at East Lake, so he knows physically he's up for it.
The All Blacks Sevens were undefeated in the tournament beating Wales 28-7, Spain 28-17 and US 24-7 on day one, before taking wins in the finals day with a 21-7 victory over Scotland and a tough 7-5 win over England in the semifinal before the Cup final. A crucial turn over in the last play of the game by debutant Scott Gregory secured the 7-5 victory, and was also awarded the UL Mark of Excellence as "Moment of the Tournament". England, which beat defending champion South Africa in the quarterfinals, came from behind against Australia to finish third overall. The All Blacks were missing four players through injury for the final.
The Canadian women went 5-1 in Glendale, losing 28-19 New Zealand in the Cup semi-finals before beating France 28-0.
"I'm so pleased with the girls' performances today - the amount of effort and work that everyone put in has been incredible", said Brown.
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Hyde-Smith was appointed to the seat earlier this year after longtime incumbent Thad Cochran resigned due to ill health. Speaking to supporters after her win, Hyde-Smith vowed to fight for everyone in the state when she goes to Washington.
Canada advanced to the final with a 15-10 victory over Australia in the semifinals with Caroline Crossley of Victoria tearing off a near field-length run before passing off to Britt Benn for an opening try that got Canada's motors revving.
However, the U.S. scored two quick tries before Australia hit back under the posts but it was a try in referee time that broke Australia's hearts, finishing the scores at 17-22.
The Canada Sevens earned the top score in five of the categories.
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The first lighting took place on Christmas Eve in 1923, when President Calvin Coolidge lit a Christmas tree in front of 3,000 spectators.
South Africa's Muller du Plessis had earlier scored the only try of a first half that saw both his side and Scotland have men sent to the sin-bin. After battling past Samoa, the Blitzboks' ill-discipline let them down in their final pool game on Friday as they slipped to defeat against Argentina.