Oceláři Třinec represent the largest steel producer in the Czech Republic – the group Třinecké železárny – Moravia Steel. The hockey club was founded in 1929 and has been playing in the highest Czech hockey league since the 1995/96 season. The first major success came in the 1997/98 season when the club fought their way to the Czech Extraliga finals but failed to win.

The team have now won five titles in the Czech Extraliga. Their first came in 2010/11 when they won the regular season and the playoffs, confidently defeating local rivals Vítkovice Ostrava 4-1 in the finals. After losing to Kometa Brno in the 2018 finals, they defeated Bílí Tygři Liberec in six games in the 2019 finals to secure their second title.

In 2020 they finished second in the Czech Extraliga regular season (the playoffs were cancelled due to COVID-19) and in the 2020/21 and 2021/22 seasons they won back-to-back national championships for the first time in the club's history.

They won their third title in a row, fourth if you skip the cancelled COVID season, in 2022/23.

After qualifying for the first two Champions Hockey League seasons, Oceláři Třinec and their fans unquestionably fell in love with the European competition in 2017/18 on their run to the Semi-Finals. The team from the northeast corner of the Czech Republic were backed by hundreds of fans on weeknights in Northern Europe and thousands at their home games. Třinec eventually came up just short of reaching the Final, going out in a shootout to JYP despite having levelled the aggregate score with a 4-2 home win.

Their next four CHL campaigns, between 2018/19 and 2022/23, weren't as successful, with the club failing to qualify for the Playoffs on all four occasions. 

2023/24 marked the club's eighth season on Europe's biggest club ice hockey stage and saw the Czechs make it out of the Regular Season but drop out in the Round of 16 to eventual Finalists Skellefteå AIK from Sweden.