The type of government that Iceland has is called a constitutional republic. They have a president, a Prime Minister, and a Parliament. There are 63 members of the Parliament. Members serve four year terms. The president currently is Olafur Ragnar Grimmson, who has been in the job for 21 years. The Prime Minister is Sigmunduer David Gunnlaugsson, who has served for 4 years. The Parliament has most of the power. The age of suffrage is 18. The government type Iceland has is the same government type the U.S has. The date that Iceland gained independence from Denmark was June 17, 1944. And that concludes our government section.