| Honorific-Prefix: | Colonel |
| Alexander Shaw | |
| Order: | 3rd |
| Office: | Lieutenant Governor of the Isle of Man |
| Term Start: | 1790 |
| Term End: | 1804 |
| Successor: | Henry Murray |
| Birth Date: | 1737 |
| Death Date: | 30 May 1811 |
| Birthname: | Alexander Shaw |
| Nationality: | British |
| Spouse: | Charlotte Stewart Anne Elizabeth Blanckley |
| Allegiance: |  United Kingdom |
| Branch: | British Army |
| Rank: | Colonel |
Alexander Shaw (1737 - 30 May 1811) was a soldier and administrator who served as the third Lieutenant Governor of the Isle of Man.
Shaw was commissioned into the 60th Regiment of Foot in 1756.[1] He served in North America during the Seven Years' War as aide-de-camp to General Augustine Prévost and was severely wounded at the capture of Quebec in 1759.[1] Shaw rose to the rank of colonel[2] and returned to his home at Tordarroch House near Pitlochry at the end of the American Revolutionary War in 1783.[1] From 1790 he acted as Lieutenant Governor and Deputy to the Governor of the Isle of Man: Shaw retired in 1804.[3] He was the 15th Chief of Clan Shaw and 10th Chief of Clan Shaw of Tordarroch.[1]
He married firstly Charlotte Stewart; they had two sons.[1] He married secondly Ann Elizabeth Blanckley; they had four sons and four daughters.[1]