Tschesche attended the University of Bonn and University of Heidelberg. In 1962, he earned his Doctor of Philosophy from the University of Heidelberg.
Tschesche began his career as a research associate at Massachusetts Institute of Technology in 1962. In 1963, he was appointed an Assistant at Technology University of Munich and held it for 9 years.
In 1974, Harald became the scientific instructor and head of the Protein Chemistry Laboratory. Two yeras later, he took a position of a chairman of organic chemistry department at Technology University of Braunschweig.
Since 1977, Tschesche has been a professor of biochemistry at the University of Bielefield.
Tschesche is a member of Gesellschaft Deutscher Chemiker, Gesellschaft fur Biologische Chemie, Gesellschaft Deutscher Naturforscher und Arzte, Max Bergman Kreis, Deutsche Gesellschaft Für Bindegewebsforschung, New York Academy of Sciences.
On March 21, 1969 Harald Tschesche married Wulfhild Natorp. They have 2 children. He married Monika Wellpott in November 1994.