After bowling out the tourists for 232, the Blackcaps easily reached their target with eight wickets in hand.
Martin Guptill starred for the hosts, smashing an unbeaten 117.
The second match will be played at Christchurch on Saturday.
New Zealand win first ODI against Bangladesh
More from Sports News
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Infantino's advisor Cordeiro quits following proposal to sell FIFA stake
A senior adviser to FIFA President Gianni Infantino resigned in protest at plans to sell a stake in the World Cup on Friday, as European football threatened a boycott and regional confederations united in opposition to the controversial proposal.
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Defiant FIFA doubles down as three confederations oppose investment plan
FIFA said on Friday it would push ahead with consultations on a plan to bring private investment into the World Cup and its other tournaments, after Europe's football federation threatened a boycott and other regional confederations issued stinging rebukes of the plan.
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Newcastle manager Howe steps down, replaced by Al Ahli coach
Newcastle United manager Eddie Howe has stepped down from his role with immediate effect and is set to be replaced by Al Ahli coach Matthias Jaissle.
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UEFA nations vote to boycott World Cup over FIFA stake sale plans
UEFA's member associations have unanimously voted to boycott the World Cup and other FIFA competitions in protest at FIFA's plan to sell stakes to external investors in a subsidiary that will run the global governing body's tournaments.
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FIFA opens several disciplinary cases over Argentina's World Cup behaviour
FIFA have opened disciplinary proceedings against Argentina's football association (AFA) and its players for several alleged breaches at the World Cup, including the holding up of a banner asserting sovereignty over the Falkland Islands.
On Virgin Radio today
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The Fix With Dany Neville7:00pm - 11:00pm
Officially the UAE's favourite DJ, Dany Neville makes sure you have the soundtrack you need every Saturday night.
Hit Music
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Homewrecker <
Sombr -
Under The Influence
Chris Brown -
Hate That I Made You Love Me
Ariana Grande