Batsman Martin Guptill and bowler Daniel Vettori were not considered for the tour due to injury, while Tim Southee is expected to be fully fit for the limited overs matches after not being named in the Test squad following ankle surgery.
Head Coach Mike Hesson said the injury to Guptill in particular opens the door for other batsmen.
"Martin was the standout batsman in the recent one day series victory over England so his absence provides an opportunity for other batsmen to shine."
New Zealand ODI and Twenty20 squad for Bangladesh tour:
Brendon McCullum (c), Corey Anderson, Anton Devcich, Grant Elliott, Tom Latham, Mitchell McClenaghan, Nathan McCullum, Kyle Mills, Adam Milne, Colin Munro, James Neesham, Hamish Rutherford, Tim Southee, Ross Taylor, Kane Williamson.