New Zealand's System of Government. New Zealand is a democratic country in which the Members of Parliament (MPs) are chosen in free and fair elections. Citizens and permanent residents who are aged 18 years and over are required to enrol to vote.Voting is not compulsory.New Zealand has a single chamber of Parliament which consists of the House of Representatives, which generally has 120 MPs, and the Governor-General (who does not personally attend the House). The House is elected for a maximum three-year term using the Mixed Member Proportional (MMP) system.oting is not compulsory. New Zealand has a single chamber of Parliament which consists of the House of Representatives, which generally has 120 MPs, and the Governor-General (who does not personally attend the House). The House is elected for a maximum three-year term using the Mixed Member Proportional (MMP) system.