He was elected to the Royal Astronomical Society and they awarded him their Gold Medal in 1887; it was presented by Glaisher who was president of the Society. Hill was president of the American Mathematical Society from 1894 to 1896 delivering his presidential address on Remarks on the progress of celestial mechanics since the middle of the century.
Siya ay elected sa Royal Society astronomya at sila ay iginawad sa kanya ang kanilang Gold medalya sa 1887; ito ay ipinapahayag sa pamamagitan ng Glaisher na noon ay pangulo ng Samahan. Hill ay presidente ng mga Amerikanong matematiko Society 1894-1896 paghahatid ng kanyang pagkapangulo address sa Remarks sa progreso ng makalangit mechanics dahil sa ang gitna ng ang siglo.