Veteran opener Tamim Iqbal also returned after his retirement U-turn and missing the recent Asia Cup due to injury.
Bangladesh failed to reach the Asia Cup final but ended the tournament on a high note by defeating eventual winners India in their last match.
The second and third ODIs will be held on the same ground on 23 and 26 September.
This will be the last series of both the teams before the World Cup starts in India on October 5.
Bangladesh team: Liton Das (captain), Tamim Iqbal, Soumya Sarkar, Anamul Haq, Tauheed Hridoy, Mahmudullah Riyad, Nurul Hasan Sohan, Mahedi Hasan, Nasum Ahmed, Mustafizur Rahman, Tanzeem Hasan Saqib, Tanzeed Hasan Tamim, Zakir Hasan, Rishad Hussain, Khalid Ahmed .
New Zealand team: Lockie Ferguson (captain), Finn Allen, Tom Blundell, Trent Boult, Chad Bowes, Dan Cleaver, Dean Foxcroft, Kyle Jamieson, Cole McConchie, Adam Milne, Henry Nicholls, Rachin Ravindra, Ish Sodhi, Blair Tickner, Will Young.