The team was formed in 2005 and is sometimes erroneously seen as a successor to Torpedo-Kadino Mogilev, a First League team from the same city that was disbanded in late 2005. This is, however, not the case, as the team had different owner, office, club logo, name and colours, almost entirely new squad, and was a different entity legally.
Savit finished 2nd in their first season in Second League (2006) and was promoted to the First League. In 2007 the team won the First League and made its debut in Premier League in 2008. After disappointing 15th place Savit finished in relegation zone and eventually was folded before the start of the next season.