The championship game will be played on July 2 in St. Petersburg.
Poloz's neat touch set up Denis Glushakov, who dinked his effort over goalkeeper Stefan Marinovic and off the post before Boxall bundled the ball into his own net.
On Sunday, Portugal and Mexico face off from Group A while Chile and Cameroon are playing each other from Group B.
Portugal's William Carvalho, left, and Mexico's Raul Jimenez fight for the ball during the Confederations Cup, Group A soccer match between Portugal and Mexico, at the Kazan Arena, Russia, Sunday, June 18, 2017.More news: New 'transforming' Forever Stamp commemorates August 21 total solar eclipse
New Zealand rallied briefly and midfielder Ryan Thomas forced Russian keeper Igor Akinfeev into a smart save, but in reality Russia ran out comfortable winners and could have added more goals late on.
Russia's win eases the pressure on winning its second game, against Cristiano Ronaldo's Portugal in Moscow on Wednesday.
But Russia sealed victory in the 69th minute when New Zealand fail to react fast enough to Samedov squared pass across goal - and there was Fedor Smolov to slot home unmarked from just a few yards out.
The victory gave Chile a flawless start to their maiden Confederations Cup campaign, after they qualified by successfully defending their Copa America title a year ago.More news: Judge Finds Defendant Guilty; Manslaughter Law Extending to New Grounds?
"Here, on modern football arenas there will be tough, honest, fair fight until the last minutes of the match", Putin said in Russian, adding that the eight-team, two-week event would "unite nations and continents, to promote the values of fair and attractive play".
"First of all, let me express gratitude to [FIFA President] Gianni Infantino for being committed to the sport ideals and for helping in the preparations of this landmark event", Putin said at the opening ceremony of the cup.
He also told the Tass news agency on Monday that the atmosphere at the stadiums was great.
A second seemed inevitable as Russian Federation remained firmly on the front foot.More news: Two deputies injured in shooting at Coffee County Courthouse
The World class Player RONALDO in earlier private meet with reporters, and with his speech came to know that his Team were really excited to track Russians at Moscow and sounds like very much fired his heart for Knock out stage. Even more, G. OCHOA (GK) are out there for Big Fight against Portugal non 21st June and the Team has to win this Home ground match, and they don't wanna leave Russian Federation.
- London mosque attack suspect arrested on terror grounds
- Mexico fully deserved Portugal point, says Osorio
- Belmont Stakes Preview and Analysis: Irish War Cry Morning Line Favorite
- Real Madrid boss Perez tackles Ronaldo problem
- Auto bombing on govt building in Somali capital kills at least 10
- Iran sends a message with missile strike in Syria
- Kia announces Stonic SUV to take on Nissan Juke
- Perez rubbishes talk of Manchester United deal for Morata
- What we know: Pedestrians struck near north London mosque
- Severe weather expected to affect 60 million Americans Monday