Robert Graham was a 19th-century New Zealand politician in the Auckland area.
Graham was born in 1820 in the parish of Barony in Glasgow, Scotland.
He represented the Southern Division electorate (containing Waikato, Coromandel, the Bay of Plenty, and East Cape) in the 2nd New Zealand Parliament from 1855 to 1860, and then represented the Franklin electorate in the 3rd Parliament and the 4th Parliament from 1861 to 1868, when he resigned. He was the fifth Superintendent of Auckland from 1862 to 1865. Prior to this, he had represented the Southern Division electorate on the Provincial Council from 1855 to 1857, and he represented the Franklin electorate from 1865 to 1869.