Delany was awarded gold medals at the International Inventions Exhibition in London (1885), at the Pan-American Exposition (1901), and at the St. Louis Exposition (1904), and the John Scott Medal of the Franklin Institute. Delany was a two-time recipient of the Elliott Cresson Medal awarded by the Franklin Institute, one in 1886 for "Synchronous Telegraphy" and another in 1896 for "Telegraphy, High speed system". A copy of Delany's Telegraph Relay is in the permanent collection of the National Museum of American History of the Smithsonian Institution.