| George H. Dunn | |
| Office1: | 4th Treasurer of Indiana |
| Term Start1: | February 9, 1841 |
| Term End1: | February 9, 1844 |
| Governor1: | Samuel Bigger James Whitcomb |
| Preceded1: | Nathan B. Palmer |
| Succeeded1: | Royal Mathew |
| State2: | Indiana |
| District2: | 4th |
| Term Start2: | March 4, 1837 |
| Term End2: | March 3, 1839 |
| Predecessor2: | Amos Lane |
| Successor2: | Thomas Smith |
| Office3: | Member of the Indiana House of Representatives |
| Term3: | 1828 1832-1833 |
| Birth Date: | 15 November 1794 |
| Birth Place: | New York City |
| Death Place: | Lawrenceburg, Indiana |
| Restingplace: | New Town Cemetery |
| Party: | Whig |
George Hedford Dunn (November 15, 1794 – January 12, 1854) was an American lawyer and politician who served one term as a U.S. Representative from Indiana from 1837 to 1839.
He was born in New York City and moved to Lawrenceburg, Indiana, in 1817 to study law.He was admitted to the bar in 1822 and commenced practice in Lawrenceburg, serving as member of the State house of representatives in 1828, 1832, and 1833. He was a promoter of the first railway in Indiana and was an unsuccessful candidate for election to the Twenty-fourth Congress.
From March 4, 1837, to March 3, 1839, Dunn served on the Twenty-fifth Congress, but was an unsuccessful candidate for reelection.
He resumed the practice of law and later became state treasurer from 1841 to 1844. He also served as judge of Dearborn County, Indiana, and was president of the Cincinnati & Indianapolis Railroad at the time of his death.
He died in Lawrenceburg, Indiana, on January 12, 1854. He was interred in New Town Cemetery.