In 1837 he was associated with General George S. Greene on professional work near Charleston and elsewhere. He was a railroad engineer and manager, and rapidly rose to the first rank in his profession.
Craven became engineer commissioner to the Croton Water Board of New York on its organization in 1849, and continued in that capacity until 1868. Among the many works projected and carried out during these years under his supervision were the building of the large reservoir in Central Park, the enlargement of pipes across High Bridge, and the construction of the reservoir in Boyd's Corners, Putnam County. He also caused to be made an accurate survey of Croton River valley, with a view of ascertaining its capacity for furnishing an adequate water supply, and was largely instrumental in securing the passage of the first law establishing a general sewerage system for New York City.
Later he was associated with Allan Campbell as a commissioner in the work of building the underground railway extending along 4th Avenue from the Grand Central Depot to Harlem River.
He was one of the original members of the American Society of Civil Engineers, a director for many years, and its president from November 1869, until November 1871.[2]
Two of his brothers were noted naval officers: Thomas Tingey Craven and Tunis Craven.[2] Thomas Tingey Craven's son Alfred Craven (16 September 1846 – 30 September 1926), also an engineer, graduated from the United States Naval Academy in 1867 and worked on design for the New York City Subway.[9] Another relative is John Craven, the former Chief Scientist of Polaris and the Special Projects Office.