Morgan said after the match: "I thought they (bowlers) did an outstanding job".
Victory in this match would see England into the semi-finals, with New Zealand looking to kickstart their campaign in a 50-over tournament featuring the world's top eight one-day global sides after a rain-induced no result in their opening clash with Australia.
However, the tourists' chase got off to a terrible start with Luke Ronchi dismissed for a golden duck, and though Kane Williamson hit an impressive 87, they were bowled all out for 223 with just over five overs remaining.
Buttler, who hopes Saturday s game will be remembered more for its cricket than was the case in 2013 when Australian opener David Warner punched Root in a Birmingham bar, said any match with Australia was always a big occasion no matter what was at stake.
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"I think if we're truly going to be contenders for this tournament, we need to beat the best teams - and Australia is one of the best teams", he said.
England play their last group match against Australia, which would be a do-or-die match for the Steve Smith-led side, on June 10.
England's last one-day worldwide tournament meeting with the Black Caps ended in an eight-wicket defeat at the World Cup in February 2015.
Williamson top scored for New Zealand with 87 from 98 balls, hitting eight fours. The Black Caps never found a rhythm and ran out of wickets as the innings came to a close, not giving them the option to take a lot of risks.
England became the first team to qualify for the semi-finals.
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None won as dominantly as this team, which has four versatile All-Stars - including two former league MVPs - in their prime. The win put the brooms in Golden State's hands as the Warriors took a 3-0 lead in the best-of-seven series.
The hosts batted first and posted a challenging 310 on the board with the likes of Joe Root, Alex Hales and Jos Buttler scoring half centuries.
New Zealand, however, were without several key players in Guptill, Williamson, plus pacemen Boult, Tim Southee and Adam Milne. "But, yeah, I guess those things happen and you let them go and move on".
One of Buttler's most outrageous strokes came in the 46th over.
Virat Kohli urged India to produce a repeat of their Pakistan demolition when they face Sri Lanka in Group B today.
"We'll have a very serious attitude", said the 30-year-old.
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All have been charged with conspiracy to commit fraud by false representation in relation to the June 2008 capital raising. Barclays said it was considering its position over the charges and awaited further information.