As rector of the University of Frankfurt am Main for the academic years 1955/56 and 1956/57, Coing took on organizational and operational tasks in the scientific community for the first time and became chairman of the West German Rectors' Conference in 1956–1957 and, after his replacement as university rector, co-founding chairman of the Science Council (1958–1960). In 1961, he became the chairman of the scientific council of the Fritz Thyssen Foundation,[4] established two years prior, and exercised this function as late as 1978/79.[5] In 1964 Coing founded the Max Planck Institute for European Legal History in Frankfurt and remained its director until his retirement in February 1980. He also sat on the Juridical Committee of the European Banking Federation, set up in 1960.[6] In 1968 he was elected a corresponding member of the Göttingen Academy of Sciences and the Bavarian Academy of Sciences. In 1972, he became a corresponding fellow of the British Academy. From 1970 to 1973 he was chairman of the humanities section of the Max Planck Society and from 1970 to 1972 he was also head of the Statutes Commission and finally 1978 to 1984 Vice President of the Max Planck Society. He held a visiting fellowship at All Souls College, Oxford.[7] In 1984 Coing, who had already been inducted into the Pour le Mérite for Sciences and Arts in 1973, was elected Chancellor of the Order. He held this post until 1992.
Coing proposed the notion of the "European legal tradition" in a 1967 article and elaborated it in 1985.[8]
In 2008, the Max Planck Institute for European Legal History in Frankfurt am Main awarded the Helmut Coing Prize for the first time. The award is intended to give young researchers the opportunity to work at the institute for 4 to 5 months to complete a dissertation or post-doctoral thesis that deals with an area of European legal history. The scholarship is advertised worldwide every three years.