Born in Šiauliai in 1942, he lives in Vilnius. He studied graphic art at the Lithuanian State Art Institute. Expelled from the institute on ideological grounds in 1963, he worked for the Institute of Geology, but returned in 1964. He held various jobs: from 1967 to 1968 he was an artist at Vaga publishers, from 1967 to 1971 an engineer in a factory of electric welding apparatuses, in 1971 and 1972 an artist at Vilnius University Theatre, in 1972 he taught at Vilnius Children’s Four-Year Art School, and from 1989 to 2008 he was a professor at Vilnius Art Academy. Repšys makes series of engravings, medals and figurative bas-reliefs on themes from Lithuanian history. He received the State Prize in 1985 for the mural The Seasons (1974–1985) in the Department of Baltic Languages of Vilnius University. In 1997 he was awarded the National Prize. Repšys is one of the most acclaimed artists of the older generation in Lithuania.

He has illustrated and designed books by Lithuanian poets. His illustrations for the 1970 book of poems Užmigę žirgeliai (Little Sleeping Horses) by Sigitas Geda and the 1971 folk tale Našlaitė Elenytė ir Joniukas aviniukas (Elenytė the Orphan and Joniukas the Little Lamb) are original interpretations in a Baroque style.