 Allport was a Fellow of the Linnæan Society of London and of the Zoological Society, corresponding member of the Anthropological Institute, life member of the Entomological and Malacological Societies, and foreign member of several Continental scientific societies.He was a Vice-President of the Royal Society of Tasmania, to the Proceedings of which last-named Society he contributed a number of valuable pacers on the subjects of his favourite studies.He was a member of the Council of Education for many years.