Mezokovesd-Zsory

On 5 June 2016, Mezőkövesdi SE hosted Dunaújváros PASE on the 30th match day in the 2015–16 Nemzeti Bajnokság II season at the newly built Mezőkövesdi Városi Stadion. The match was won by the home team which also resulted the club's promotion to the 2016–17 Nemzeti Bajnokság I.

On 16 July 2016, Mezőkövesd played their first match in the 2016–17 Nemzeti Bajnokság I season at the Mezőkövesdi Városi Stadion against Gyirmót FC Győr. The match ended with a 2–2 draw.

In the 2016–17 Magyar Kupa season, Mezőkövesd were eliminated in the semi-finals by Vasas SC on 7–0 aggregate. By reaching the semi-finals Mezőkövesd set a record in the Magyar Kupa. In the first leg, Mezőkövesd lost 2–0 at the Szusza Ferenc Stadion, while in the second leg, Mezőkövesd lost 5–0 at the Városi Stadion on 17 May 2017.

In the 2016–17 Nemzeti Bajnokság I season, Mezőkövesd were escaping from relegation along with Debreceni VSC, Diósgyőri VTK, and MTK Budapest. On the 32nd matchday, Mezőkövesd hosted Paksi FC and won the match with a late goal by Gohér at the Városi Stadion on 20 May 2017.

The club was featured in the Worldsoccer.com.

In the 2019-20 Magyar Kupa, the club reached the final by defeating Hévíz in the round of 128, Sényő in the round of 64, Győr in the round of 32, Kaposvár in the round of 16, Puskás Akadémia in the quarter-finals, Fehérvár in the semi-finals. In the 2020 Magyar Kupa Final, Mezőkövesd was beaten by Budapest Honvéd FC 2–1 at the Puskás Aréna.

On 14 September 2022, Attila Kuttor was appointed as the head coach of the club. On 13 February 2024, Kuttor was sacked due to weak performance.

In the 2023–24 Magyar Kupa season Mezőkövesd entered the round of 64 and they lost to FC Ajka 1–0 on 16 September 2023. The only goal was cored by Filip Borsos in the 18th minute.

In the 2023–24 Nemzeti Bajnokság I season, Mezőkövesd finished 12th and were relegated to the second division. During the season, Mezőkövesd could beat Debrecen twice, and beat Kecskemét away. At home they beat Újpest and MTK Budapest. Mezőkövesd drew six times in the season and the most surprising draw was at Groupama Aréna against Ferencváros on 3 December 2023. On 14 February 2024, Milan Milanović was appointed as the coach. The day after in an interview Milanovic said that he wants to form a winning team. On 10 March 2024, Milanovic said that the club will fight until they have mathematical chances to remain in the top flight. Mezőkövesd lost 22 matches in the season and on 6 April 2024, they suffered their biggest defeat in the season against Fehérvár at the Sóstói Stadion. On 17 April 2024, Milanovic resigned; however, the management did not accept his resignation and convinced him to stay until the end of the season. On the last match day, they drew with MTK Budapest at home.

In the 2024–25 Magyar Kupa season Mezőkövesd defeated 1-0 Nemzeti Bajnokság I club Debreceni VSC on 29 October 2024. Mezőkövesd qualified for the 16th finals.