Dhaka - New Zealand captain Brendon McCullum won the toss and sent Bangladesh into bat in the first one-day international in Dhaka on Tuesday.
New Zealand selected debutant batsman Anton Devcich, while the hosts were without premier all-rounder Shakib Al Hasan, who was out with a fever.
The three-match series comes after the Test series was drawn.
New Zealand: Brendon McCullum (captain), Kane Williamson, Hamish Rutherford, Ross Taylor, Anton Devcich, Grant Elliott, Corey Anderson, Nathan McCullum, James Neesham, Tim Southee, Mitchell McClenaghan.
Bangladesh: Mushfiqur Rahim (captain), Mohammad Mahmudullah, Tamim Iqbal, Anamul Haque, Mominul Haque, Naeem Islam, Nasir Hossain, Sohag Gazi, Abdur Razzak, Mashrafe Mortaza, Rubel Hossain.
Umpires: Enamul Haque (BAN) and Ranmore Martinesz (SRI)
TV umpire: Anisur Rahman (BAN)
Match referee: Chris Broad (ENG)