Krull was born and went to school in Baden-Baden. He attended the Universities of Freiburg, Rostock and finally Göttingen, where he earned his doctorate under Alfred Loewy. He worked as an instructor and professor at Freiburg, then spent a decade at the University of Erlangen. In 1939 Krull moved to become chair at the University of Bonn, where he remained for the rest of his life. Wolfgang Krull was a member of the NSDAP.