Offspinner Glenn Phillips claimed 4-37 in only his second match as New Zealand reduced Bangladesh to 310-9 on day one of the opening test on November 28.
Phillips' haul helped the visitors gain an edge after Bangladesh won the toss and opted to bat first on a pitch ideal for batting.
Bangladesh made a good start with opener Mahmudul Hasan playing serenely to put the side in the driving seat in the first session but his teammates' rash shots undermined his effort. Mahmudul made a team-best 86 off 166 balls with 11 boundaries.