Tånnander is a Swedish surname. Notable people with the surname include:
Annette Tånnander (born 1958), Swedish heptathlete, daughter of Kjell Jakob Tånnander (born 2000), Swedish footballer Kjell Tånnander (born 1927), Swedish decathlete, father of Annette and Kristine Kristine Tånnander (born 1955), Swedish heptathlete, daughter of Kjell