Keemo Paul became available for selection after recovering from an ankle injury which forced him to sit out of the series opener in Antigua.
Evin Lewis was adjudged man of the match for scoring an explosive 89 off 36 balls.
MS Dhoni effected a stumping to dismiss Windies player Keemo Paul in only 0.08 seconds.
Keemo Paul imitated Shikhar Dhawan's celebration soon after dismissing him during the fourth ODI on Monday.
Bangladesh withstood a withering assault from Andre Russell to complete a series-clinching 19-run victory on the DLS Method over the West Indies in the rain-affected deciding final fixture of their three-match T20 International Series on Sunday.