Tinnheia is a district in the city of Kristiansand in Agder county, Norway. The population is around 3,660 (2014). It is part of the borough of Grim, and it is generally populated with mostly apartment homes, with a high percentage of immigrants. West of Tinnheia is the district of Hellemyr, to the east is the district of Grim (centrum), and to the south is the district of Slettheia.