Their earliest success dates back to the 1960–61 season when the club won the Pomurska League, the fifth tier of Yugoslav football.

MNL (fifth level of Slovenian football) and earned promotion to the fourth tier after finishing top of the league.

[citation needed] At the beginning of the 2014–15 season the construction of the new stands for the Sports Park was completed with a seating capacity of 301.

On 20 July 2015 Radgona hosted Slovenian champions NK Maribor in a pre-season friendly which was the official opening of the newly build stands.

[28] Jean-Philippe Mendy opened the scoring in the first minute in front of 1,000 spectators and after a brace from Marcos Tavares, the visitors had a five-goal lead by half time.

Under management of Robert Petrovič the team finished fifth in the league with a win on the last match day at home against rivals Slatina Radenci with the score of 2–0.

[29] In the MNZ Murska Sobota Cup, the team eliminated Serdica in the first round before being knocked out by Mura after a penalty shootout.

[30] The MNZ Cup run ended early in the 2015–16 season when Radgona exited in the first round with a 6–0 defeat to Beltinci.

[31] After starting the league campaign with a defeat, the team went on to secure one of the biggest away wins in club's history, when they won 10–1 at Gančani.

[32] They lost their home derby against Slatina and after that, the club parted ways with manager Franc Hauko who finished fourth in the league after the first half of the season and then left for personal reasons.

[35] After the appointment of a new manager, the team won the first match after the winter break on 26 March 2016 while playing in new blue and white kits for the first time.

[36] With the win the visitors were confirmed champions of the league with one match day remaining where Radgona visited their rivals Slatina and drew 1–1.

Under the management of Nenad Dolgov, the first team topped the league table after the first half of the 2016–17 season; their most notable win being a 4–1 home victory over Slatina on 15 October 2016.

[44] On 6 June 2017, the club received the official invitation to participate in the Third Division for the next season after league winners Hodoš declined promotion.

MNL table (top 5 only): The team started the 2017–18 season aiming to avoid relegation back to the fourth division.

[52] Under new management the team continued the season after the winter break on 24 March 2018 with a scoreless home draw against Slatina.

[54] Under management of Jože Sečkar the club was more successful as they obtained more points than they did in the first half of the season, including home wins over Turnišče, Čarda and Ljutomer.

[63][64] On 26 June 2019, the club was confirmed to compete in the third tier for the next season, despite finishing bottom of the league, as the Slovenian third division was restructured.

[67] The team started the 2019–20 season with nine consecutive league defeats,[68] before finally scoring a point in a 0–0 home draw against Veržej on 2 November 2019.

[69] Undergoing two managerial changes, they finished the first half of the season bottom of the league with one point and scoring just two goals.

[71] During the winter break, the club withdrew from the competition after eleven rounds[72] and were effectively relegated to the MNZ level (fifth tier) for the 2020–21 season.

[73] After withdrawing from all competitions, the club started in the fifth tier for the 2020–21 season and achieved six consecutive wins before drawing 3–3 at home with Ižakovci on match day 7.

They secured the title and promotion to the fourth tier Pomurska League on 5 June 2022 with a 3–0 win against Dokležovje with one match day remaining.

[79] In the second half of the season, Radgona recorded a streak of ten games without defeat, including a 5–1 away win against rivals Radenska Slatina.

The reserve team was mainly used to give experience to youth players ready to play on senior level.

[84] The team's first ever league game was a visit to Cankova on 21 August 2016, where the hosts were awarded a 3–0 win due to Radgona B fielding an ineligible player.

Their most successful period dates back to the 2005–06 season when they competed in the Second Youth League (East), where they finished in tenth place and were relegated.

[87] During the 2015–16 and 2016–17 seasons, they reached the final of the MNZ Murska Sobota Regional Cup and lost to the under-19 team of Veržej on both occasions.

[93][94] In 2020, the stadium hosted three home matches of ŽNK Pomurje in the 2020–21 UEFA Women's Champions League.

On 29 May 2016, on the club's 70th anniversary, the band's concert was held at the Gornja Radgona Stadium during the match against ŠD Bogojina.