He graduated from the Vocal Department of the F. Chopin Academy of Music in Warsaw in the class of Włodzimierz Zalewski. As a student he debuted on the stage of the Teatr Wielki – Polish National Opera in the role of Prince Gremin in Eugene Onegin by Tchaikovsky (dir. Maciej Prus).

His role of Sarastro in Die Zauberflöte by Mozart opened the doors to many theatres in Poland and abroad, and thanks to the role of Skołuba in The Haunted Manor by Moniuszko, Remigiusz Łukomski joined the ranks of the greatest Polish basses.
His repertoire includes over thirty major bass parts. He has collaborated with leading directors, including Grzegorz Jarzyna, Krzysztof Warlikowski, Michał Znaniecki, Andrea Moses, Agata Duda-Gracz, Christian Sedelmayer, Mariusz Treliński, and conductors: Jacek Kaspszyk, Antoni Wit, Kazimierz Kord, Tomasz Tokarczyk, Bassem Akiki, Antoni Wicherek, Stefan Solyom, Carlo Montanaro, and Will Crutchfield.

He has given concerts in Chicago, Berlin, Amsterdam, Bonn, Darmstadt, Frankfurt, and Trondheim. Remigiusz Łukomski is a winner of numerous awards and distinctions at nationwide and international festivals. He has made numerousrecordings, among others he performed the Credo by Penderecki with the Warsaw Philharmonic and with the Polish Radio Orchestra he appeared in the recordings of Lodoïska by Cherubini, Falstaff by Verdi, and Maria by Statkowski. From 2009–2013, he was a company member of the DeutschesNationaltheater und Staatskapelle Weimar.