Sir Walter Armstrong (7 February 1850 Hawick, Roxburghshire – 8 August 1918 London) was a British art historian and author.
In 1892, he succeeded the late Henry Doyle as Director of the National Gallery of Ireland in Dublin, which his predecessor had reorganized and developed; and in this post Armstrong remained for over 20 years, his services recognized by a knighthood in 1899.
During his time in Dublin he wrote many books, among which his stately volumes on Sir Joshua Reynolds, Gainsborough, and Raeburn were the chief, that held a position of authority for many years afterwards.
Earlier and later he wrote columns on men so various as Peter De Wint, Velasquez, and Sir Thomas Lawrence, and a book of "Notes" on the National Gallery, containing many suggestive criticisms.
Armstrong was said to be quick at absorbing the essential points of contemporary researchers and in judging them by the aid of a keen eye and a clear brain.