The Løgting (pronounced [ˈlœktɪŋɡ]; Danish: Lagtinget) is the unicameral parliament of the Faroe Islands, an autonomous territory within the Danish Realm.

The name literally means "Law Thing"—that is, a law assembly—and derives from Old Norse lǫgþing, which was a name given to ancient assemblies. A ting or þing has existed on the Faroe Islands for over a millennium and the Løgting was the highest authority on the islands in the Viking era. From 1274 to 1816 it functioned primarily as a judicial body, whereas the modern Løgting established in 1852 is a parliamentary assembly, which gained legislative power when home rule was introduced in 1948. Together with the Manx Tynwald and the Icelandic Alþing, the Løgting is one of the oldest surviving parliaments in the world, all three holding lineages to the old Norse assemblies of mainland Europe.

Today, the Faroe Islands comprise one constituency, and the number of MPs is fixed at 33. The first election with this new system was held on 19 January 2008, after the Election law was changed in late 2007, prior to which the membership of the Løgting varied from 27 to 32. The 7 constituencies had 27 seats and up to 5 supplementary seats. That Election Act came into force in 1978, and the eight general elections between 1978 and 2004 all resulted in 32 members.

The Løgting is elected for a period of four years. Election of the Løgting can take place before the end of an election period if the Løgting agrees on dissolving itself. The Løgmaður (Prime Minister) issues a proclamation of the forthcoming election and appoints the day of election, which must take place, at the earliest, six weeks after the proclamation.

The Faroese ting or assembly was originally a so-called alþing, with both legislative and judicial authority. During this time, there was no executive authority in the country. The Faroese society was a family society (eitt ættarsamfelag), where the families saw to it that the judgments and resolutions of the Løgting were put into practice.

There is some evidence that the Faroes were already colonised as early as 650. The first inhabitants, who were of Celtic descent, were driven out by Norse landnamsmen in about 825. Faroese society in the Viking Age and the Middle Ages resembled the other Nordic populations in many ways. This was particularly true when it came to legislation. The most important body of law was the Gulatingslógin, an ancient Norwegian agricultural law which originated in the Gulating legislative area in Vestlandet in Norway. Originally, this law was preserved through oral tradition, but it was written down about the year 1100.

The earliest historical sources locate the Løgting on the Tinganes a peninsula, today known as the oldest neighbourhood in Tórshavn. In the Viking age, it was a tradition to hold the ting at a neutral and uninhabited place, in order to prevent anyone from having an advantage. There were no settlements on Tinganes at the time, and its central location in relation to the rest of the islands may have made it the most ideal location.

Unlike the Icelandic Althing, the Løgting's foundation is not historically documented; however, it is implied to be a well-established institution when it is mentioned for the first time in the Færeyinga saga as the Straumseyarþing ("Streymoy thing"), in which a mid-10th century legal dispute at the thing between chieftains Havgrímur and Einar Suðuroyingur, resulting in the exile of Eldjarn Kambhøttur, is recounted in detail.