At the 2012 Winter Youth Olympics in Innsbruck, Austria, Anton Dukach finished 4th in boys' singles having lost 0.022 sec to German athlete who was third.

As of February 2022, Dukach's best Luge World Cup finish was 15th in the 2019-20 season in Sigulda, Latvia, both in singles and sprint races.

Dukach participated at several World Championships, with his best personal result being 20th in 2021.

[2] At the Olympics, he finished 23rd in singles' race and 13th in team relay (together with Shkhumova, Obolonchyk, and Zakharkiv).

[3] Dukach studied computer security at Lviv Polytechnic.