Matangi Tonga reported the petitions, presented on Monday, come alongside claims there were no checks and balances and corruption existed in government.
A former government minister Clive Edwards presented a petition signed by former politicians.
Noble MP Lord Nuku presented a petition from the country's nobles.
The third petition was presented by former MP Teisina Fuko from members of the general public.
Clive Edwards said he believed that once a Royal Commission for Investigation was appointed, a caretaker government would need to be put in place.