New Zealand set a target of 135 runs for Bangladesh in the first match of three-match T20I series at McLean Park in Napier on Wednesday.
The Kiwis scored 134 runs for nine wickets in 20 overs.
Earlier, Bangladesh won the toss and chose to bowl first against New Zealand in the match.
Bangladesh XI: Litton Das (wk), Soumya Sarkar, Najmul Hossain Shanto (capt), Rony Talukdar, Towhid Hridoy, Afif Hossain, Mahedi Hasan, Rishad Hossain, Shoriful Islam, Tanzim Hasan Sakib, Mustafizur Rahman.
New Zealand XI: Tim Seifert (wk), Finn Allen, Daryl Mitchell, Glenn Phillips, Mark Chapman, James Neesham, Mitchell Santner (capt), Adam Milne, Tim Southee, Ish Sodhi, Ben Sears.