Edgeøya is located at geographical co-ordinates . To the west lies Storfjorden, which separates Edgeøya from Spitsbergen. To the north, the sound known as Freemansundet lies between Edgeøya and Barentsøya. In the northeast, Olgastretet separates Edgeøya from Kong Karls Land. Minor island groups lay to the east (Ryke Yseøyane) and to the south (Thousand Islands). The island's south coast in indented by its largest fjord, Tjuvfjorden. The island's northernmost point is Kapp Heuglin, a cape named in August 1870 for the German explorer Theodor von Heuglin (1824–76), during the Heuglin-Zeil expedition.