After winning the toss and batting, the home team were dismissed for 247, opener Tamim Iqbal heading a string of steady contributions with 58.
Seven other batsmen reached double figures, while for the Black Caps all-rounders Corey Anderson (4-40) and James Neesham (4-53) were the pick of the bowlers.
In reply, New Zealand lost Hamish Rutherford early for 1, and while a number of batsmen made starts, only Ross Taylor (45) and Anderson (37) made significant scores.