The origins of Modriča's history of professional sports are connected to football, and they date back to 1921. The first football was brought from Prague by a student Đoka Petrović. The first football club was founded in Modriča in 1922. The club was originally named Rogulj, but it soon changed its name to Zora. In the first years of development of the sport, there were no official competitions – only friendly matches played between teams from neighbouring locations, and the players purchased sports equipment for themselves alone. The first official match Zora played was against the neighbouring team of "Bosanac" from Bosanski Šamac in 1923, which resulted in a 2–2 draw. Zora existed up until 1927, when the authorities forbade its operation. Soon after, however, another club was founded under the name Olimpija, which existed under this name until 1938, when it changed its name to FK Dobor. After the beginning of the Second World War, all sports activities ceased, and only when the war was over, in August 1945, a new football club was founded, named Sloga. The club later changed its name to Napredak until it finally got the name Modriča. For sponsoring reasons, Modriča later received for a long time the surname Maxima. What was later changed again in summer 2017 because of sponsor change to Alfa. The biggest successes of the club during the years of the former Yugoslavia were in the season 1968/69, when it won first place and the title of amateur champion of SR Bosnia and Herzegovina, and the second place in the competition for amateur champion of Yugoslavia. The shirt of FK Modriča Maxima has been worn, among others, by: Nikola Nikić, Goran Peleš, Džemal Đedović, Slavko Cvijić, Dragan Voćkić, Rade Radulović, Slavko Mamuzić and Mustafa Čoralić. Coaches FK Modriča Maxima Dušan Radoja, Mitar Lukić, Slaviša Božičić, Zoran Ćurguz, Nikola Nikić, Marko Stojić. The 2003–04 season saw Modriča's first participation in the Premier League of Bosnia and Herzegovina. The same season saw Modriča lift the Bosnia and Herzegovina Football Cup on 26 May 2004. In the 2008–09 season, Modriča won its first and so far only league title, which ranks as the biggest success in the long history of the club.
Stadium
The stadium was built and opened in 1962. FK Modriča was formed in 1922 as a club and played its home games at Vranjak. At the time, the stadium was mainly built with wooden stands and could have an attendance of 3,000 spectators. Modriča, being an industrial city and having the oil refinery as the main provider for most of the population of the city, needed to provide some kind of job offer for its hard workers. Now, the decision was made to build a larger stadium since FK Modriča was taking part in the country's top league. The stadium "Dr. Milan Jelić" was named after the former president of Republika Srpska. After Dr. Milan Jelić's death on 30 September 2007, the club decided to change the name of their stadium in his honour. The stadium has changing rooms, offices for the hosts, chairs for its main stand, and the capacity altogether is 6,000.