He is a Fellow of the American College of Cardiology and a member of the Heart Rhythm Society.

He is also a Fellow of the Institute of Biology, a former member of their council and chairman of their history network.

He is a Fellow of the Royal Society of Arts and a member of Athenaeum Club in London.

He is a Fellow of Clare Hall, Cambridge, and a member of Jesus College, Cambridge.

He has been a Fellow of the Royal Society of Arts and a member of the D&AD since 1996.

Greenhow was a Fellow of the Royal Society (1870) and a member of many medical societies, to which he largely contributed.

In addition, he is a Fellow of the Royal Society of Arts and a member of the Higher Education Academy.

He is a Fellow of the Royal Society of Canada and a member of the Order of Ontario.

He is a Fellow of the Royal Society of Literature and a member of the Society's Council.

Habakkuk was elected a Fellow of the British Academy in 1965 and a member of the American Philosophical Society in 1966.