Alþingishúsið (The Parliament House) is a classical 19th century structure which stands in the center of Reykjavík, Iceland.
Alþingishúsið was designed by the Danish architect Ferdinand Meldahl (1827-1908). It is made of hewn dolerite and was built during 1880-1881.
Alþingishúsið has also housed the National Library and Antiquaries Collection, and later the National Gallery. The University of Iceland used the first floor of the house from 1911-1940. The President of Iceland was located in the building until 1973.