Southampton is expecting 305 calls and 1.2m passengers this year compared to 271 calls and 1.05m passengers in 2009.
Flam is placing more emphasis on family activities in order to hold on to the bigger ships, says Sivert Bakk manager port operations Port of Flam.
Bergen in Norway is expecting 242 calls and up to 290,000 passengers this year.
Olden-Nordfjord in Norway had a record year in 2009 with 74 calls and 74,507 passengers, an increase of 28% on 2008.