He followed Jan Jesenský as head of the Prague Stomatology Clinic until his death, was a member of the Bohemian Academy, a member of International Association for Dental Research (IADR), whose Honorary Vice-President he became in 1939–1940, and co-founder of its Prague Section in 1932.
He received a number of honors and awards during his career, and he was president of the International Association for Dental Research in 1947, president of the American Society for Pharmacology and Experimental Therapeutics (1966-1967), president of the Association of Medical School Pharmacologists (1968-1970).
He was President of the British Society for Disability and Oral Health (2002), President of the Education Research Group of the International Association for Dental Research (IADR) (2002–2004) and chair of the IADR Regional Development Programme Committee (2002–2004).
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He was the founder and head of the Prague Stomatology Clinic until the German occupation in 1939, a member of the Bohemian Academy, a member of International Association for Dental Research (IADR), whose Honorary Vice-President he became 1933–1935), and co-founder of its Prague Section in 1932.
Williams also practiced dentistry in London and was one of the founders of the International Association for Dental Research.