Höfði is a house in Reykjavík, Iceland, best known as the location for the 1986 Reykjavík Summit meeting of presidents Ronald Reagan of the United States and Mikhail Gorbachev of the Union of Soviet Socialist Republics. That effectively was a step to the end of the Cold War. Within the building, the flags of the United States and the Soviet Union are cross-hung to commemorate the meeting.
The house was built in 1909 and is located at Félagstún. It was initially built for the French consul Jean-Paul Brillouin in Iceland, and was the exclusive residence of poet and businessman Einar Benediktsson for many years. From 1925 to 1937 painter Louisa Matthíasdóttir's family owned the house and resided there.In the 1940s and 1950s, it was home to the British Embassy in Reykjavík. The city of Reykjavík purchased the house in 1958, restored it to its former glory. From then on it has been used for formal receptions and festive occasions.