Seamer Abu Jayed engineered up a West Indies collapse while spinner Mehidy Hasan finished with five wickets as Bangladesh dismissed the hosts for 354 before lunch on Friday on the second day of the second and final Test in Kingston.
Jayed picked up three of the six wickets to fall while spinner Mehidy snared two off successive balls and finished with figures of 5-93.
Bangladesh, who lost by an innings and 219 runs inside three days in Antigua, were 92-4 at tea in Kingston. Pace ace Shannon Gabriel picked up two wickets in six overs for eight runs.
Starting the day on 295-4, the Windies lost Shimron Hetmyer for 86. The left hander edged a ball from Jayed to keeper Nurul Hasan.
Bangladesh were further buoyed by the dismissal of overnight batsman Roston Chase who was trapped lbw by Jayed.
On a dry pitch, left-arm spinner Taijul Islam removed wicketkeeper Shane Dowrich, caught at cover.
Mehidy then removed Kemo Paul for a duck caught bat-pad. The spinner reached five wickets off the next ball getting Miguel Cummins lbw.
