Trent Boult bagged five wickets as Bangladesh were rolled for 126 at stumps in reply to New Zealand's mammoth 521 for six declared in the second Test on Monday.
The last wicket fell in the last over of the day in Christchurch as the Bangladesh innings ended inside a session and a half, and 395 in arrears.
The hosts must win the Test to square the two-match series after losing the first Test by eight wickets.
They had made batting look easy after being sent in on a green wicket with opener Tom Latham in the middle for more than nine hours for his 252, while Devon Conway added 109 and Tom Blundell was 57 not out.
When the Black Caps declared, pace bowlers Boult and Tim Southee then showed how to move the ball on a verdant surface as they ripped through the Bangladesh line-up.
Boult ended with five for 43 while Southee took three for 28.
Only two relative Test novices, Yasir Ali and Nurul Hasan, provided any resistance.
Yasir, in his third Test, made 55 while Nurul was out for 41 in his fifth Test.
The tourists lost their first four wickets for only 11 runs inside seven overs and were then five for 27 before Yasir and Nurul mounted a 60-run salvage mission.
In the blitz start, Boult had Shadman Islam (seven) and Najmul Hossain Shanto (four) both caught by Latham at second slip while Southee bowled debutant Mohammad Naim and captain Mominul Haque without scoring.
The fifth wicket fell in the first over after tea when Boult had Liton Das caught behind for eight.
Southee came back to break up the Yasir-Nurul partnership with a ball that came back sharply on Nurul and he was trapped lbw.
Boult bowled Mehidy Hasan (five) to become the fourth New Zealander -- behind Richard Hadlee, Daniel Vettori and Southee -- to take 300 Test wickets.
Kyle Jamieson removed Taskin Ahmed (two) and Yasir before Boult finished off the innings bowling Shoriful Islam for two.
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