Sir Joseph Augustus Maung Gyi (Burmese: ဆာ ဂျိုးဇက် အော်ဂပ်စတပ် မောင်ကြီး; 12 December 1871 – 9 March 1955) was a Burmese barrister, judge, politician and administrator who served as the Acting Governor of British Burma during the tenure of Charles Alexander Innes, who was away on sick leave in the United Kingdom. He was the first Burmese governor during the British colonial period. At various other times during the colonial era he served as Minister of Agriculture, Excise and Forestry, of Home Affairs, and as Minister for Transferred Subjects.
He should not be confused with Sir (M. A.) Maung Gyee, with whom his career overlapped.
Maung Gyi was born on 12 December 1871 in Moulmein, British Burma to ethnic Mon parents U Khin and his wife Daw Yin. After graduating from St. Paul's English High School, he studied law at Rangoon College, and continued his education in England. He was also educated at Oxford University, Brussels College and St. Mary's College in the UK. In 1901, he returned to Burma and worked as a barrister for 11 years. In 1911 he was called to the bar by the Middle Temple.
Maung Gyi married Phwar May who lived in Lampang, Thailand. They had only one daughter Khin Myint. He died on 9 March 1955 at the age of 83 at his residence in Golden Valley, Rangoon, Burma.