The point of departure for Cape Ingólfshöfði is only a short 4 minutes drive away from Nónhamar Guesthouse. Ingólfshöfði is a rock formation rising 76 meters from the sea south of Öræfajökull glacier. It is encircled by rocky cliffs except where huge sand dunes join the cape to the land. There are both areas of green grass and black rocks on top of the cape and the eastern part is called Grashöfði (Grassy Cape), while the western part is called Grjóthöfði (Rocky Cape). Ingólfshöfði is rich in birdlife and during the summer the cliffs are densely populated with nesting seabirds. Birds that can be seen include puffins, guillemots, fulmars, razorbills and skuas among others.
Ingólfshöfði is named after Ingólfur Arnarson, Iceland's first settler, who spent his first winter in Iceland living on the cape. In 1974, the cape was designated a Nature Reserve.
The tracks that lead to Ingólfshöfði are only passable by 4WD trucks and tractors and risky to attempt without local guidance. Travellers are advised not to drive to the cape in their own vehicles but rather to take a trip organized by Local Guide travel service.