The author analyzes the problem of the political position of the Parliament of Greenland. It is an autonomous territory within the Kingdom of Denmark, which functions on the basis of the assumptions of the parliamentary system of the government. The new Act on Greenland Self-Government of 2009 has increased the degree of the existent autonomy. Greenland has a complex system of authorities, in which the unicameral parliament, composed of 31 deputies, fulfi lls relevant functions. Political parties play an important role in the system as well. It is believed that it is the parliamentary practice-apart from other conditions, in particular economic ones-that will be of great importance while deciding about the Greenland's readiness for gaining independence.