Football first begin being played in Zvornik soon after World War I. The first football match was played in 1924 between a team from Zvornik against visitors from Srebrenica. The first football club was formed in 1933 and named Zmaj od Noćaja. A year later another club named Sloga was formed so the city of Zvornik had two football clubs in the period between the two world wars. Just before the start of the Second World War the two clubs are dismembered and a new club named Omladinac is formed.
Just after the end of the war a new club, FK Drina was formed. The first club president was Mr. Nikola Mastilica. The first match recorded by the press and probably the first match in competition was played on May 17, 1946, in Tuzla against FK Sloboda Tuzla. During the period within SFR Yugoslavia the club played mostly in lower national leagues.
During the 1990s, another team from Živinice also represented Drina Zvornik, but played at Bosniaks Football League. With the break-up of Yugoslavia, in 1992, the Football Association of Republika Srpska is formed. Drina Zvornik was a member of the first league season in 1995–96 to be organised by the FAoRS. The league was divided into two groups and the club played in the First League – East. In this first season the club ended up relegated but after only one season the club as champion of the Second League – group Bijeljina was promoted and played in the First League in the season 1997–98. The club suffered relegation once more but would return to the First League in the season 2002–03, this time staying in the league all the way until 2010. In the session 2009–10, the club was the league champion, and now being the First League of Republika Srpska part of the Bosnia and Herzegovina league system, the club achieved its greatest result ever and earned a promotion to the Premier League of Bosnia and Herzegovina. But it was relegated again to the lower tier, after finishing last in its first season (2010–11) after promotion to the Premier League.
In 2013–14 Drina Zvornik finished first in the First League of Republika Srpska and was again promoted to the Premier League.