Wolf trained as an actor in Berlin and began his professional life in the theatre there.

Theatre credits include: Various productions at the Royal Court and touring the country and Continent with The Freehold Company, Agamemnon, The Trial, Metamorphosis and Salome at the National Theatre, Portrait of a Queen, A Flea In Her Ear, Hamlet.
 
Television appearances include: Arnheim, A Horseman Riding By, The Odd Job Man, Unfair Exchanges, Make and Brake, A Perfekt Spy, On the Brink, The Countess Alice, Money for Nothing, Dalziel & Pascoe, and Red Cap, all for the BBC. Hess and Dr. Finlay's Casebook for STV. The Spoils of War, Sherlock Holmes-A Scandal in Bohemia, Medics and Metropolis for Granada. Soldier Soldier III, The Bretts, Saracen and Kavanagh for Central Television. The Standard (BBC Scotland), The Sandbaggers (YTV), Turtle's Progress (ATV), The Secret Adversary (LWT), Doomwatch (Carlton) Perfect World (Channel 4).
 
Films: Barry Lyndon, March or Die, The Eagle has Landed, The Boys from Brazil, Force Ten from Navarone, The Riddle of the Sands, The Lady Vanishes, The House on Garibaldi Street, At the Fountainhead, Rough Cut, The Sea Wolves, The Raiders of the Lost Ark, Remembrance, Firefox, The Keep, High Road to China, Mistral's Daughter, Space, Dirty Dozen II, Mussolini, Z and Two Noughts, War and Remembrance, Dirty Dozen III, The Bourne Identity, The Man who lives at the Ritz, Till We Meet Again, Shining Through, The Young Indiana Jones, The Story of Mary Lindell, The Remains of the Day, Backbeat, Loch Ness, Firelight, Britannic, Band of Brothers, Charlotte Grey, The Lost Battalion.
 
Voice work: Wolf has recorded extensively for BBC Radio Drama, and has also recorded poetry readings, training videos and many TV and Radio Commercials. His ADR credits include the Chief Engineer in Das Boot and Schindlers List.
 
Other recordings include Hyperion Franz Liszt’s “The Recitations” with Leslie Howard, piano, The Prophets by Kurt Weill: Zedekia (Speaker) for BBC Proms, and Bernd Alois Zimmermann’s : “Ich wandte mich und sah....”: Sprecher 1 with the BBC Symphony Orchestra.
He has also narrated a German concert production of Brecht/Weil Threepenny Opera at the Queen Elisabeth Hall with Ensemble Modern, Frankfurt.