Henry Robert Fuller (22 January 1825 – 27 August 1905) was a businessman in South Australia, Mayor of Adelaide from 1866 to 1869 and a member of both houses of the South Australian parliament.
Fuller was born in Cambridge Heath, London the eldest son of H. P. Fuller, a surgeon of Hackney Road, London. He was educated at E. Duke's academy, "Belle Vue", at Ball's Pond, near Highbury, then at Mr. Burn's school, Kennington Common. He was employed as second officer on several P. & O. steamships. He left the company at Port Adelaide in 1845, and worked as a carter, carrying goods between the port and Adelaide city. In 1856 he and partners Henry Hill and George Mills won the contract to manage rail freight between the port and the city. When Cobb and Co., who had taken over the carrying business of William Rounsevell, decided to leave South Australia, Henry Fuller, George Mills and John Hill (Henry's son), as John Hill & Co., took over that business, later became H. R. Fuller & Co.
Fuller was elected to the South Australian House of Assembly for West Adelaide on 9 March 1865 and held the seat until 27 March 1870.
He was mayor of Adelaide 1866–1869.
On 12 May 1894 Fuller was elected to the South Australian Legislative Council for Central District No. 1, a seat he held until 18 May 1900, representing the National Defence League.