Min began dancing at the age of five. She trained at the Yewom Arts School in Seoul as well as at the Seoul Arts High School, in South Korea. In 2012, she joined the Joffrey Ballet in Chicago as a trainee dancer, then Ewha Womans University in Seoul.
After graduating, she joined the Baltic Opera Ballet in Gdansk, Poland, then the Victor Ullate Ballet in Madrid, Spain, as a soloist dancer at both institutions.
In 2020, Min joined the Béjart Ballet Lausanne. Since then, she has danced numerous ballets from the repertoire of Maurice Béjart repertoire, including Nutcracker, Concerto in D for violin, 7 danses grecques, Opéra, Brel et Barbara, Wien, Wien, nur du Allein, Ballet for Life and Dionysos, and has also performed notable roles such as La Femme in Mallarmé III, Les Partisans in The Firebird, as well as La Jeunesse in Serait-ce la mort ?. In 2026, she performs The Silk in La Route de la soie.
She also took part in several creations, notably Alors on danse… ! and Basso Continuum by Gil Roman, Hamlet by Valentina Turcu, Real Love by Andonis Foniadakis and OSKAR by Riva&Repele.