The small airline Katoair fly passengers to Rýst from Bodý twice a day - Monday to Friday, and offer one daily departure during the week-ends. The flight takes only 20 minutes.
For updated route and info check Katoair's website.
Most days during the summer season there is a ferry connection from Bodø, Værøy and Moskenes twice a day. During low season there's one sailing every day, except saturday.