New Zealand slumped from 252 for four to 256 for seven in the space of 15 balls as spinner Shakib Al Hasan collected three wickets with his left-arm orthodox guile. He finished with three for 32 from seven overs.
The players left the field two overs later. Henry Nicholls (56) and Tim Southee (4) were the not out batsmen.
The hosts are 260 for seven at stumps in reply to the visitors' 289.
Of the late trio removed, Mitchell Santner was first, adjudged lbw for 29 trying to force a ball off the back foot through the offside. Santner appealed through the decision review system but was denied when the operation malfunctioned.
New Zealand retained their review as a type of satisfaction-or-your-money-back clause, but it was little consolation. The DRS looks set to face another forensic audit as a result.
BJ Watling bottom-edged onto the stumps in Shakib's next over and Colin de Grandhomme drove around a delivery three balls later.
A solid platform, built via a 106-run third wicket stand between Ross Taylor (77) and Tom Latham (68), was under threat.
Taylor's quest to equal his late mentor Martin Crowe's New Zealand record of 17 test centuries fell 23 runs short, 15 minutes before tea.
He hit a catch, which had its merits debated for bump ball, to substitute fielder Taijul Islam at short mid-wicket from off spinner Mehedi Hasan. Third umpire Marais Erasmus ruled in favour of the tourists.
The majority of Taylor's runs came from slashes and caresses between cover and backward point. He muscled one pull for six but refrained from driving straight between extra cover and mid-on. A drive through point for three from Mehedi took him to 62 and 6000 test runs. He is the third New Zealander and fastest (145 innings) to reach the mark, compared to Brendon McCullum (163) and Stephen Fleming (165).
Bangladesh pace bowler Kamrul Islam spilt a catch when Taylor dropkicked Mehedi to deep square leg on 75. The innings was further evidence the surgery to remove the pterygium on his left eye in late November was a success.
He has since had domestic T20 scores of 82 not out and 80, and test scores of 40, 60 and 77.
Kamrul's delivered momentum to Bangladesh early on.
He lured Jeet Raval into a pull shot which saw the opener play on in the 15th over of the day for 16. That was followed two balls and two runs later by captain Kane Williamson, edging an outswinger. It was debutant wicketkeeper Nurul Hasan's maiden test dismissal. He headed to the legside before recalibrating with the ball's movement.
Beyond the boundary rope the ground descended into silence as the New Zealand captain traipsed off at 47 for two; in contrast the field of play was a scene of rejoicing Bangladeshis, led by an ecstatic Kamrul. He finished with two for 48 from 13 overs.
Rubel Hossain's aggression complemented the attack, despite suffering a bang to the helmet in the 80th over and a knock to the elbow in the 84th over from Trent Boult yesterday. A bandage protected the elbow, but nothing shielded his vocal chords. He bellowed after most deliveries.
The bowlers' efforts were not matched by the fielders. Three catches were dropped and one opportunity was missed. Errors appear contagious after New Zealand spilt three yesterday and a swag were shelled in Wellington.
In the fourth over Mahmudullah put Raval down on two off Mehedi; that was followed by an edge in the 11th over to second slip Sabbir which went begging; Kamrul dropped Taylor; and Nicholls flashed a ball at silly point Nazmul Hossain off Mehedi when he was on two. The ball stuck in Nazmul's arms as he took evasive action and then dribbled out.
