At the end of October, the London, Madrid and Marseille routes will cease operating, and on 4th November flights to Barcelona and Dublin will be stopped.
Ryanair is also cancelling its Stockholm Västerås to Dublin flights from 28th October, moving its Irish flights to Stockholm Skavsta airport instead.
Last month Ryanair announced a major expansion at Skavsta, with 13 new routes to European cities, including Liverpool, Berlin and Valencia.
The Swedish tourist board, meanwhile, says a record number of southern Europeans are holidaying in Sweden.
The number of tourists from Spain has increased by 25% since last year, and more visitors to Sweden are reported from southern Germany and northern Italy.
For Swedes, Bangkok is the new top tourist destination, with some 84,100 trips made there by Swedes last year.
Las Palmas in Spain has fallen into second place, with Palma de Mallorca in third spot.
Kos and the Dominican Republic have suffered the biggest drop in Swedish visitors.