Sir Arthur Alexander Priestley (9 November 1865 in Kensington, London – 10 April 1933) was an English Liberal Party politician and cricketer. After three unsuccessful candidacies he held a seat in the House of Commons from 1900 to 1918. At cricket, he played for MCC and took part in and later led overseas touring sides between 1894 and 1897.
Priestley was the youngest surviving son of Briggs Priestley (1831–1907), from Apperley Bridge near Bradford. His father was a mill-owner in Bradford, and served as the Member of Parliament (MP) for Pudsey from 1895 to 1900. His brother William was MP for Bradford East from 1906 to 1918.
Arthur was educated privately, and travelled in most parts of the world participating in sports ranging from pig-sticking in Patiala to crocodile-shooting on the White Nile. He also took part in many cricketing tours.
After the 1886 general election, he was asked by the Liberal association in Stamford to contest the seat against the sitting Conservative MP, John Compton Lawrance. He was in America at the time, but it was expected that he would accept the invitation; however in the event, Lawrance was returned unopposed.