The first football club in Radanovići, which existed only few seasons, was founded in 1970. After many years, the club was refounded in June 1995[1] and in their first season the team gained promotion to the Montenegrin Republic League for the 1996-97 season (third tier of the FR Yugoslavia football system). After only three seasons in the Republic League, in the summer of 1999, OFK Grbalj (OFC Humpback) became a member of the FR Yugoslavia Second League, which was the biggest success of the team until 2006.[2] OFK Grbalj spent four seasons in the Second Yugoslav League.
After Montenegrin independence, OFK Grbalj became a member of the Montenegrin First League. In the 2006-07 season, the team achieved third place, just behind the two of the most successful teams in national competitions, Zeta and Budućnost Podgorica. Over the next two seasons, OFK Grbalj finished as a fourth-placed team. During subsequent seasons, the team didn't achieve the same successes as in their first seasons in top-tier competition, but they were never relegated from the First League.
OFK Grbalj holds two all-time records in the Montenegrin First League. On 29 May 2010 they defeated Kom 11-0, which is the biggest margin of victory in the history of league. Five years later, on 23 May 2015, OFK Grbalj beat Mornar in Bar 7-0, which is the biggest away victory in league.
In the 2016-17 season, OFK Grbalj had the greatest success in their history by reaching the Montenegrin Cup final. They lost game against Sutjeska 1-0.
After 14 consecutive seasons in top-tier, OFK Grbalj finished as a last-placed team in 2019-20 Montenegrin First League. After the campaign full of disappointing results, team from Radanovići was relegated to Montenegrin Second League.
For the first time, OFK Grbalj played in Montenegrin First League on season 2006–07. Below is a list of OFK Grbalj scores in First League by every single season.
For the first time, OFK Grbalj played in European competitions on season 2007-08.
They were first team from Montenegrin coastal region which played in UEFA competitions. Until now, OFK Grbalj played two seasons in European cups.
OFK Grbalj play at Stadion Donja Sutvara, near the main road between Budva and Kotor. Stadium capacity is 1,500 seats on one stand and it doesn't meet UEFA standards for European competitions. Except the main ground, there is a smaller artificial pitch at Donja Sutvara football complex.
