The Barras only managed 200 runs after their top order was demolished.
Captain, Assad Vala (57) was the top scorer reaching his half century before being dismissed off the bowling of Carlos Brathwaite who was lethal finishing at 5/27.
Despite losing both their openers cheaply, West Indies reached the target with 42 balls to spare, thanks mostly to a knock off of an unbeaten 99 runs from Jason Holder.
The Barramundis will take on the Netherlands today at 05:30 PM +10.