Bosnia will wear the new kit for the first time in a friendly against Mexico in Chicago on June 3 just ahead of the World Cup in Brazil.
"This is a landmark moment for our nation - making our first appearance in a major tournament and partnering with Adidas," said Elvedin Begic, president of the Bosnia and Herzegovina Football Federation.
Italian-based Legea, one of the smaller players in the sportswear industry, is the current supplier for Bosnia.
Adidas and U.S. rival Nike are battling for supremacy in a football kit industry worth more than $5 billion (£4.17 billion) annually.
Nike is the kit supplier for 10 teams including hosts Brazil. German sportswear company Puma, number three in the market, is the partner to eight finalists.
(Writing by Keith Weir; editing by Toby Davis)
