New Zealand, who will be led by regular skipper Stephen Fleming in the Test matches and left-arm spinner Daniel Vettori in the One-dayers, will get to play a three-day game here from October 14.
Fleming will go back after the Tests to rest a niggling abdominal injury.
New Zealand play the practice game against a Bangladesh Cricket Board XI led by all-rounder Alok Kapali.
The first Test starts here on October 19 while the second will be held in the eastern port city of Chittagong from October 26.
Chittagong will also host the first One-dayer on November 2, which will be followed by day-night matches here on November 5 and 7.
Bangladesh were beaten in both their previous Tests against New Zealand in 2001 and have also gone down in all four One-dayers between the two sides.
Bangladesh have so far lost 27 of 30 Tests since getting Test status in 2000. The remaining three matches ended in draws.
They have also won just five of 95 One-dayers.
New Zealand squad: Stephen Fleming (captain), Nathan Astle, Ian Butler, James Franklin, Hamish Marshall, Chris Martin, Brendan McCullum, Kyle Mills, Jacob Oram, Michael Papps, Mark Richardson, Scott Styris, Daniel Vettori and Paul Wiseman.
Bangladesh Cricket Board XI squad: Alok Kapali (captain), Mohammad Ashraful, Hannan Sarkar, Nafees Iqbal, Aftab Ahmed, Jamaluddin Ahmed, Talha Jubair, Alamgir Kabir, Anwar Hossain Monir, Dhiman Ghosh, Shamsur Rahman, Nadif Chowdhury, Nasiruddin Faruque and Shahadat Hossain.