John Annan Bryce (1841 – 25 June 1923) was a Scottish businessman and Liberal politician.
He was the son of the politician and geologist James Bryce and his wife Margaret Young, daughter of James Young. His elder brother was the 1st Viscount Bryce. Bryce was educated at Balliol College, Oxford and graduated with a Bachelor of Arts, winning the Brackenbury Scholarship. He studied first at the University of Edinburgh, then made his Master of Arts at the University of Glasgow. On 2 August 1888, he married Violet L'Estrange, daughter of Captain Champagne L'Estrange. They had two sons and two daughters.
Bryce worked as merchant in India and was chairman of the Rangoon Chamber of Commerce. He served in the Legislative Council of Burma and made several expeditions into unknown regions of Siam. After his return to England, Bryce became a director of the London and County Bank. He was the director of Naval Construction & Armaments Co in 1907 and became then the director of Bombay, Baroda, and Central India Railway until 1914. During the same time he was also director of British Westinghouse , Atlas Assurance Company and of Burma Railways. He was twice a council member of the Royal Geographical Society.
In 1906, Bryce entered the British House of Commons, sitting as a Member of Parliament (MP) for Inverness Burghs until 1918. Following his first election, he was appointed to the Royal Commission on Congestion in Ireland, in which he stayed for two years.