The Kofta family came to Warsaw after the Second World War and later lived in Wrocław and Poznań.
In 1961 Kofta received his Matura in High School of Arts in Poznań and began to study painting in Warsaw.
In 1962, together with Adam Kreczmar and Jan Pietrzak, he opened the student cabaret club Hybrydy in Warsaw.
Starting in 1966 his poems, satires and song lyrics were published in newspapers.
From 1968 to 1980 he often worked with Kreczmar and Pietrzak at Pod Egida, one of the most popular Polish cabarets.