PLUS Buy your official Eurail pass (click here right before you order!) via our partner link to eurail.com. You get the official Eurail pass and your free PLUS-profile on railcc for extensive support for your Eurail trip. railcc is official partner of eurail.com
From Stockholm there are frequent connections by X2 high speed train (7€ reservation) to Malmö or even directly to Kobenhavn (If the train terminates at Malmö use the frequent Öresundtag to get to Kobenhavn from Malmö). If you want to avoid the X2 there are only two IC trains during the day that you can use without a reservation.