George Arbuthnot Burns, Second Baron Inverclyde (17 September 1861 – 8 October 1905) was the owner of a Scottish shipping company. Burns was the elder son of John Burns, First Baron Inverclyde (24 June 1829 - 12 February 1901).
The Burns' fleet of ships amounted to over 100 vessels, trading between the Clyde, Ireland, Liverpool, and the Scottish Highlands. His father eventually handed him control of the Cunard Steamship Company, making him chairman.
He was Justice of the Peace for Lanarkshire and Renfrewshire, and a Deputy Lieutenant for Glasgow. He was also Lord Dean of Guild of the City of Glasgow, 1903-4.
On 6 April 1886, he married Mary Fergusson, younger daughter of Hickson Fergusson, of The Knowe, Ayrshire. However, he died childless in 1905, and the titles and business passed to his younger brother, James Cleland Burns, 3rd Baron Inverclyde (1864–1919).