Mahmudullah Riyad quick-fired 62 runs off 41 balls featuring one four and five big sixes to help the Tigers put up a challenging total.
For Zimbabwe, Kayle Jarvis bagged three wickets conceding 32 in four overs while Chris Mpofu took two conceding 42 off four overs as well.
Bangladesh added 55 in the powerplay losing the wickets of Liton Das and debutant Najmul Hossain Shanto.
Shanto was the first man to get dismissed for 11 off 9. He was removed by Kayle Jarvis as he took a return catch off his own ball. In the next over of Chris Mpofu, Bangladesh lost Liton Das who hit three consecutive boundaries (two sixes and one four) in the third over of the innings off Ainsley Ndlovu.
Liton went to clear Mpofu through the leg side, but he skied the ball and Neville Madziva picked up a high-catch to remove him. Liton added 38 off 22 with four fours and two sixes.
After losing two wickets in quick succession, the onus was on Shakib Al Hasan and Mushfiqur Rahim to make a big partnership. But it was Shakib who fell for 10 off nine and Bangladesh suddenly found them struggling in the middle.
Ryan Burl came to bowl the eighth over and picked the wicket of Shakib as Sean Williams took an easy catch at the mid-on. However, right after Shakib’s dismissal, Mahmudullah Riyad came to bat and hit a first-ball six off Burl.
While going to 15th from 7th, Bangladesh added 79 runs with the help of the fourth wicket stand shared between Mushfiqur and Mahmudullah.
The partnership ended in 17th over when Tinotenda Mutombodzi removed Mushfqur for 32 off 26 balls with three fours and one six. Tinotenda got a little bit of extra bounce that worked right for him.
Before falling apart, Mushifqur accompanied Mahmudullah in the fourth wicket to add 78 runs off 67 balls.
In the last five overs, Bangladesh added only 41 runs losing four wickets.
Mahmudullah fell for 62 off 41 with one four and five sixes in the last over off Jarvis. In the very next ball, Mosaddek Hossain failed to play a full-toss properly and skied ball which was taken safely by Regis Chakabva at deep.
Along the way, Mahmudullah completed 8000 runs in the international cricket as the third Bangladesh batsman after Tamim Iqbal, Shakib and Mushfiqur Rahim.
Eventually, Bangladesh ended on 175 for seven in 20 overs, which is now their highest T20Is total against Zimbabwe. The previous highest was 168 for seven back in 2013 at Bulawayo.
Bangladesh made three changes in the best eleven as Soumya Sarkar, Taijul Islam and Sabbir Rahman were overlooked to pave the way for Najmul Hossain Shanto, Shafiul Islam and Aminul Islam Biplob.
Shafiul made a comeback to the T20I XI after a break of two years, Shanto and Aminul got the T20Is cap for the first time.
Shanto played Tests and ODIs before along with 35 First-class, 92 List-A and 40 Twenty20s, Aminul played just 19 List-A and two Twenty20 games. Although a lower-order batsman, he is also known for his leg-spinning ability.