The appointment was made under Clause 61 of the Constitution of Tonga.
A government statement said the Interim Speaker will invite elected representatives of the Legislative Assembly to submit a nomination for Prime Minister designate.
Lord Tangi will call a meeting of the elected representatives of the Legislative Assembly, who will then vote in a secret ballot to elect the Prime Minister from the nominated representatives. The Speaker and the Deputy Speaker of the Legislative Assembly of Tonga will also be elected.