Tasmania batted first and finished at 7/261, thanks to knocks from Alex Doolan (81), Simon Milenko (49), Beau Webster (40) and James Faulkner (31*).
Alei Nao (3/54), Norman Vanua (2/46) and Chad Soper (2/49) were the wicket takers for the Barras.
In their run chase, the Barras got off to a bad start, losing both openers Vani Vagi Morea (0) and Lega Siaka (0) in the first over.
Wickets continued to fall and it was all over inside 38 overs with the Barras being all bowled out for 137.