Skogstad is a surname. Notable people with the surname include:
Geir Arne Skogstad (born1973), Norwegian wheelchair curler Grace Skogstad, Canadian political scientist Herbjørn Skogstad (born 1946), Norwegian illustrator Morten Skogstad (born 1962), Norwegian drummer Norman C. Skogstad (1920–2001), United States Army Air Forces flying ace Bjørn Skogstad Aamo (1946–2023), Norwegian economist and politician