The club was formed in 1959 as Kirovets Mogilev. During 1962–1963, the team played in the Belarusian SSR League, before submerging to regional and city level competitions. In 1979, the club was renamed to Torpedo Mogilev and joined the Belarusian SSR top league once again. They were third in 1979 and won their only championship title in 1982.[1]
The team began playing in the Belarusian Premier League in 1992. The first two seasons were most successful when they finished 7th (1992) and 8th (1992–93). After that, Torpedo could not get higher than 11th and mostly were struggling against relegation.
In 1996, Torpedo were renamed to Torpedo-Kadino Mogilev. In 2000, the team finished 15th and were relegated to the Belarusian First League. After playing 5 seasons in the First League (2001–2005), Torpedo-Kadino was disbanded.
In 2014, the club was reformed with the original name Torpedo Mogilev to play in the Mogilev city league, and in 2015, the club joined the Belarusian Second League. However, due to financial struggles, the club withdrew from the league after the 2016 season and is currently represented by a youth team on a city level.