These Transactions provide a record of the organisational and administrative activities of the IAU XXXI General Assembly, which took place in Busan, Republic of Korea in August 2022, with Business Meetings virtually in August 2021. They report and record all of the essential decisions taken by the governing body of the IAU. These include the approval of the financial accounts and of the proposed budget for the next 3 years, the admission of new national and individual members, the Divisions, Commissions, and Working Groups, the new Officers and Executive Committee, and the approval of Resolutions, as well as Opening and Closing Ceremonies and other events. Focus Meetings are published in the 'Astronomy in Focus' series, and each Symposium has its own Proceedings.