Born in Bucharest to Liviu Ciulley [sic], a lawyer and constructor, he studied at the Gheorghe Lazăr High School.
Also at the Bulandra, he staged such European classics as Maxim Gorky's "The Lower Depths" and "The Children of the Sun", Georg Büchner's "Danton's Death" and "Leonce and Lena", and Bertolt Brecht's "Threepenny Opera".
Ciulei was a guest director in many theaters around the world: in West Berlin, Paris, Göttingen, Düsseldorf, Munich, and Vancouver.
After the Romanian Revolution of 1989, back in his native Romania, Ciulei directed a series of stage productions that were both publicly and critically acclaimed.
Besides being the costume and set designer of the majority of his own productions, Ciulei, as an architect, contributed to the rebuilding of the auditorium of the Bulandra Theatre.
He remarried, to German journalist Helga Reiter, whose son from a previous marriage (Thomas Ciulei, now a film director) he adopted.