

During World War I he lived in Russia with his parents. He attended high schools in Radviliškis and Kaunas.

In 1929 he entered the University of Lithuania Medical faculty, but in 1931 he transferred his studies to the Faculty of Law. At that time the school was renamed as Vytautas Magnus University.

In 1935 he joined the theatre studio led by V.Sipavičius-Fedotas and was later accepted to the Lithuanian State Theatre in Kaunas. In 1936 Škėma started acting on the inter-war Lithuania's main stage. While he was living in Kaunas he married Janina Solkeviciute, a Polish economist. From 1940 to 1944 he worked at Vilnius State Theater, now also as a director. Škėma had parts in nearly every play of that period.
