Sukowa's stage debut was in Berlin in 1971, in a production of Peter Handke's Der Ritt über den Bodensee. Günter Beelitz invited her to join the ensemble of the Darmstädter National Theatre in the same year. She also worked in Frankfurt am Main and Hamburg, in collaboration with Directors such as Luc Bondy and her roles included Marion in Büchner's Danton's Death and Helena in A Midsummer Night's Dream. Other Shakespeare roles in Europe were Rosalind in As You Like It and Desdemona in Othello. She performed in Ibsen's The Master Builder. In English, she has worked in a production of The Cherry Orchard (Princeton, New Jersey, 2000).