The company, which has also supported Mansfield Town and Chesterfield FC, hopes to increase its presence with the brand's logo appearing on players' shirts.
And other associated marketing opportunities will be explored throughout the season.
GBL International MD Steve Perez said: "Professional football has always been an area where VK has found good footing, and so this sponsorship seemed a natural progression for us.
"Barnsley FC has massive support and huge potential, so this decision was not a difficult one."
He added that the deal could not have come at a better time for the Third Division club, which GBL International claimed was facing the possibility of going into administration.