He wrote twelve screenplays between 1956 and 1988. The young and then unknown actor Horst Buchholz starred in his first three films. With only a handful of films to his cr, he established himself quickly as the German answer to the directors of the Nouvelle Vague in France.
Tremper arrived in 1944 in Berlin at the age of 16, to work as a photographer.
He survived the war unharmed and started working for a newly established Berlin newspaper Der Tagesspiegel. In the 1950s he started writing screenplays.
His debut Teenage Wolfpack was a huge success and made Horst Buchholz a star. He financed his next four films by himself.
With Die endlose Nacht Tremper received the Bundesfilmpreis for best production of the year.
After his last film as director, which was produced by Horst Wendlandt, he wrote several bestselling novels. Tremper further went on to work for German newspapers and magazines, such as Die Welt, Welt am Sonntag, Bunte, Stern and Quick. His weekly film column in Welt am Sonntag ran from 1980 to 1998.
In December 1998 Tremper died of a heart attack at his home in Munich.