Sir David Milne, GCB (May 1763-5 May 1845) was a British admiral.

Born in Musselburgh, he entered the Royal Navy as a midshipman in 1778. He served in the West Indies from 1778 to 1783, seeing action in the Caribbean during the American Revolutionary War and in Lord Howe’s final relief of the French and Spanish siege of Gibraltar in 1782. From 1783 to 1793 he served in the East Indies. Promoted to commander, he defeated a French division off Puerto Rico on 5 June 1795, and in 1796 he participated in the capture of the Dutch colonies of Demerara, Essequibo and Berbice , becoming the British governor of Netherlands Guiana. He continued to fight against the French in Santo Domingo from 1797 to 1799, and in 1800 he captured the French frigate La Vengeance off the coast of Africa. On 16 April 1804 he was married to Grace Purves, eldest daughter of Sir Alexander Purves, 5th Baronet , of Purves, by his second wife Mary Home, daughter of Sir James Home, 3rd Baronet of Coldinghame. Their children included geologist David Milne-Home and Admiral of the Fleet Sir Alexander Milne, 1st Baronet. The same year, he was appointed to command the station in Canada, and thus participated in the War of 1812 with the United States. On 14 June 1814 he was promoted to Rear-Admiral. His wife died at Bordeaux, in France, that 4 October, where she had gone for the recovery of her health. The admiral brought her body back to Britain, and she was buried at Inveresk 18 February 1815. He served as second-in-command of the fleet sent to bombard Algiers in 1816, and in 1817 he was appointed to command the North American station, living in Halifax, Nova Scotia and Bermuda. In 1818 he was nominated a knight of the Neapolitan Order of St Januarius , and he returned to Britain in 1819, where he remarried. In 1825 he became a Vice-Admiral. In 1842 he was appointed Commander-in-Chief at Devonport. He died at sea 5 May 1845 while returning to Scotland from Plymouth, after more than sixty years’ service in the Royal Navy. He is buried with his first wife in the churchyard at Inveresk .

Milne Land , in East Greenland, was named after him.