There is a wide selection of international flights to Iceland. For information, please see 

Flybus arrival:
Operated all year daily from Keflavik Airport to Reykjavik in connection with all arriving flights. The Flybus is located right outside the Keflavik International Airport. The Flybus brings passengers to the BSI Bus Terminal in Reykjavik near to the capital´s centre. From there passengers are brought to some of the major hotels and guesthouses in Reykjavik. Kindly note that not all hotels and gueasthouses are provided with this service. Taxis are available outside the terminal for any destination. Duration: 40 – 50 minutes.
Flybus Departures:
In connection with all departing flights. A free pick-up service is available from some of the major hotels and guesthouses in Reykjavík. The day before departure, passengers need to inform the reception desk staff of their hotel that they want the Flybus to pick them up the next day. The Flybus has a special schedule based on departures from the BSÍ terminal, picking up passengers approximately ½ an hour prior at the hotels.
For further information or assistance regarding your travel to Iceland, please contact the Conference Bureau:
Gestamóttakan – Your Host in Iceland,
Kirkjutorg 6, IS-101 Reykjavík, Iceland
tel: +354 551 1730