The match figures of Ebadat were 7-13.
The first Test is at Bay Oval.
New Zealand has a total of 327 (Conway 122; Shoriful 3-69) and 169 (Young 69; Hossain 6-36).
Bangladesh 458 (Mominul 88, Das 86, Boult 4-85) and 42-2 (Shanto 17).
Bangladesh won by a large margin.
The scorecard is a summary of what happened.
Bangladesh beat New Zealand for the first time in Test cricket with an eight-wicket win in the first Test.
Will Young made 69 and Ebadat Hossain took 6-56 as the New Zealand openers lost 5 for 22 runs on the fifth day.
Bangladesh needed just 40 to win, and they knocked off inside 17 overs.
The second and final Test will be held in New Zealand.
The victory is Bangladesh's first since they beat the West Indies and Zimbabwe in the middle of last year.
The Tigers had lost 12 and drawn three of their previous 15 Tests against New Zealand, and it is just their sixth win in 61 overseas Tests.
It's the first time that New Zealand have lost at home since March of last year when they lost to South Africa.
They lost to a team from Asia for the first time since they were beaten by Pakistan in January 2011.
New Zealand were dismissed for 327 in their first Test after being put into bat, despite the fact that the only other player to make a century on home soil was a man.
Nobody made a century, but Bangladesh built a first-innings lead of 130.
