West Indies were bowled out for 122 in 32.2 overs.
Kyle Mayers will remember his first ODI for a very long time as he scored 40 runs with the bat at a strike rate of 71.43.
In reply, Bangladesh's run chase was never really in danger but left-arm spinner Hosein rattled the top order with an excellent spell of three for 26 from 10 overs, as the hosts crawled over the line in the 34th over.
Bangladesh all-rounder Shakib Al Hasan (L) celebrates the wicket of West Indies' Alzarri Joseph with captain Tamim Iqbal during their first one-day worldwide match at the Sher-e-Bangla National Cricket Stadium on Wednesday.
Bangladesh captain Tamim Iqbal won the toss and chose to bowl.
Man of the Match Al Hasan took 4/8 in 7.2 overs as the West Indies lost wickets consistently throughout their innings. His 69-ball innings was ornamented with seven fours.
The 28-year-old Mayers opened his tally in ODIs with a boundary forward of square off Hasan Mahmud and continued to impress with a sweetly timed cover-driven four off Rubel Hossain and a six over square leg a few balls later.
Mushfiqur Rahim and Mahmudullah were unbeaten on 19 and nine runs respectively to take the Tigers to winning shore without further embarrassment. Bangladesh scripted a convincing victory in the 1st ODI by 6 wickets and the home side is all set to win the 2nd ODI and take the series with one game still left.
'It was a very hard wicket to bat on.
All-rounder Shakib Al Hasan has announced his arrival after nearly one and half years and picked up 4 crucial wickets in the 1st ODI at an economy of just 1.1.
Mayers counter-attacked by lashing four fours and a six off 56 deliveries, partnering well with Powell who belted a couple of fours and sixes in a 31-ball knock. Third-down Kyle Mayers was caught at the first slip by Liton Das off Mehidy Hasan Miraz when the islanders' total was 121 for the loss of eight wickets.
Shakib, who was adjudged player of the match, wrapped up the visitors' innings by dismissing Alzari Joseph and finished with an impressive bowling figure of 7.2-2-8-4.