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.

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.

Maung Gyi married Phwar May who lived in Lampang, Thailand.

He died on 9 March 1955 at the age of 83 at his residence in Golden Valley, Rangoon, Burma.