The Settlement Exhibition Reykjavík 871±2 is an exhibition on the settlement of Reykjavík, Iceland, created by the Reykjavik City Museum. The exhibition is based on the archaeological excavation of the ruin of one of the first houses in Iceland and findings from other excavations in the city centre. The exhibition is located in 101 Reykjavík, on Aðalstræti 16, on the corner of Aðalstræti and Suðurgata.

The focus of the exhibition is the remains of a hall from the Settlement Age which was excavated in 2001. The hall was inhabited from c. 930–1000. North of the hall are two pieces of turf, remnants of a wall which was clearly built before 871±2, hence the name of the exhibition. Such precise data dating is possible because a major volcanic eruption from the Torfajökull area spread tephra across the region and this can be dated via glacial ice in Greenland. The hall is among the oldest human-made structures so far found in Iceland. Also on display are objects from the Viking Age found in central Reykjavík and the island of Viðey.

The exhibition is held by the City of Reykjavík and run by the Reykjavík City Museum.