Reykjavík From upper left: Reykjavik from Perlan, rooftops from Hallgrímskirkja, Reykjavik from Hallgrímskirkja, Fríkirkjan, panorama from Perlan Coat of arms of Reykjavík Location of Reykjavík Region Capital Region Constituency Reykjavík Constituency North Reykjavík Constituency South Market right August 18, 1786[1] Mayor Dagur Bergþóruson Eggertsson (SDA) Council Reykjavík City Council Area 273xa0km2 (105xa0sqxa0mi)[2] Population 128,830 (2018)[3] Density 451.5/km2 (1,169/sqxa0mi) Municipal number 0000 Postal code(s) 101–155 Website reykjavik.is