William Henry Robertson (October 10, 1823 Bedford, Westchester County, New York – December 6, 1898 Katonah, Westchester Co., NY) was an American lawyer and politician from New York.
He was the son of Henry Robertson (d. 1881). He received an academic education, studied law, and began practice in his native town.
He was a Whig member of the New York State Assembly (Westchester Co., 1st D.) in 1849 and 1850; and of the New York State Senate (7th D.) in 1854 and 1855. He was Judge of the Westchester County Court from 1856 to 1866. He joined the Republican Party upon its organization in 1855, and was a presidential elector in 1860, voting for Abraham Lincoln and Hannibal Hamlin.
Robertson was elected as a Republican to the 40th United States Congress, holding office from March 4, 1867, to March 3, 1869. He was again a member of the State Senate from 1872 to 1881, sitting in the 95th, 96th, 97th, 98th, 99th, 100th, 101st, 102nd (all eight 9th D.), 103rd and 104th New York State Legislatures (both 12th D.). In 1874, after a constitutional amendment created it as a standing office, he was chosen President pro tempore of the New York State Senate. He remained on this post until his retirement from the Senate in May 1881 upon his federal appointment.