His Grace The Duke of Hamilton | |
|---|---|
| 9th Duke of Hamilton | |
 Archibald Hamilton, 9th Duke of Hamilton | |
| Tenure | 1799–1819 |
| Predecessor | Douglas Hamilton, 8th Duke of Hamilton |
| Successor | Alexander Hamilton, 10th Duke of Hamilton |
| Other titles | 6th Duke of Brandon |
| Born | 15 July 1740 |
| Died | 16 February 1819 (aged 78) |
| Nationality | British |
| Offices | Lord Lieutenant of Lanarkshire |
| Spouse(s) | Lady Harriet Stewart |
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Archibald Hamilton, 9th Duke of Hamilton and 6th Duke of Brandon (15 July 1740 – 16 February 1819) was a Scottish peer and politician.