Buy Havana Club Online. The Arechabala Family started their rum-making business in 1878 in Cuba. They first registered the Havana Club trademark in 1934. With its well-rounded flavor featuring notes of tropical fruits and hints of vanilla and oak, Havana Club quickly became a beloved and iconic Cuban brand. It was a favorite of locals as well as American and European tourists flocking to Cuba’s chic nightspots and casinos from the late 1930s to the 1960s. Havana Club became one of the symbols of the razzle and dazzle of that Golden Age.