Aeneas Shaw (c. 1740 – February 6, 1814) was a Scottish soldier and political figure in Upper Canada.

He enlisted in the Queen's Rangers at the start of the American War of Independence, later rising to the rank of captain.

He rejoined the re-formed Queen's Rangers and moved to Kingston in Upper Canada in 1792.

In 1811, as tensions increased between Britain and the United States, Shaw became a major general in the Canadian Militia, being responsible for training new recruits.

One of the children of Shaw, his daughter, Sophia, is said to have been engaged to Major-General Sir Isaac Brock, who died at the Battle of Queenston Heights in 1812.