Use the Lexology Getting the Deal Through tool to compare the answers in this article with those from other jurisdictions. Litigation Court system What is the structure of the civil court system? There are three types of courts in Sweden: general courts, special courts and administrative courts. General courts handle criminal and civil cases, as well as family-related cases. The hierarchy of the general courts is (i) district courts, (ii) appellate courts and (iii) the Supreme Court.