They were slow out of the blocks to trail 14-17 at the end of the first quarter but executed down the stretch at the Multi-Purpose Sports Complex, to come away with a solid 75-62 victory in the end.
United States Virgin Islands, meanwhile, defeated hosts British Virgin Islands to take third spot while Guyana blew out Barbados 79-58, to take fifth place.
The last place playoff was won by Antigua and Barbuda who easily brushed aside St Vincent and the Grenadines, 109-81.
Bahamas’ championship conquest was spearheaded by the pair of Alonzo Hinds and Marvin Gray who both got 22 points while the other three starters – captain Magnun Rolle, Kadeem Coleby and Mitchell Johnson – all finished with 11 points.
For the losers, only Jasiel Rivero with 15 points and seven rebounds, reached double figures.
Both teams waged an intense battle in the second quarter, as they fought for control of the game. The Bahamas whittled the lead down to one early in the quarter with a Gray basket and it was he who put them ahead with 8:03 minutes left on the clock, when he knocked down a three-pointer.
They opened up a four-point lead at 23-19 but Cuba hauled them back in to lock the scores at 23, before another good run saw the Bahamians go ahead to lead 34-29 at the half-time whistle.
Cuba continued to hustle but the Bahamas kept their nerves, out-scoring their opponents 17-14 in the third quarter and then closing out strongly in the final quarter.