Travelers are voting Arnarker as the best cave near Reykjavik. There are 1 cave near Stokkseyri a city just 32 km from Reykjavik and 2 caves near Budardalur which is 67 km distant. The most popular of these are Arnarker near Stokkseyri and Surtshellir Cave in Budardalur. You can find 0 caves in Greater Reykjavík Area and 6 caves in the country of Iceland. Vatnshellir Cave is the top pick in Iceland. Want more? Check out our map of caves near Reykjavik.