Residential parking spaces provide the residents of the Villastaden, Lugnet, Östermalm, and Salängen areas with the ability to park for a period of up to seven consecutive days on the streets and in the parking spaces that are available in these areas. Parking in a residential parking space requires a permit and a parking ticket. Residents of other districts of the city should inquire with private real-estate or property owners regarding parking space.
You can find more information and an application form here
Download application form