The international airport for Reykjavík is Keflavík International Aiport. Several international airlines fly to Keflavík, but the main airline for Iceland is Icelandair, flying direct from a range of destinations in Europe and the U.S.
Getting to Reykjavík
From Keflavík International Airport, the easiest way to get to Reykjavík is using the Fly Bus service which provides bus links to central Reykjavík for every flight that arrives at Keflavík. Please note that if you buy a Flybus + ticket, the bus brings you all the way to your hotel (your may or may not have to change buses at the bus terminal in Reykjavík). Here is more information on the Fly Bus. Other transport options can be found here. If you have a mid afternoon arrival and are feeling adventurous, you can even take a coach link which stops for a couple of hours at the Blue Lagoon on the way for some volcanic bathing! Click here for more info.
What To Do in Reykjavík
For those who have neither GPS nor use Map Quest : Map of Reykjavík City Centre.