Þórdís or Thordis is an Icelandic name. Notable people with the name include:
Þórdís Árnadóttir (1933–2013), Icelandic swimmer Thordis Brandt (born 1940), German-American actress Thordis Elva, Icelandic author Þórdís Gísladóttir (born 1965), Icelandic author Þórdís Hrönn Sigfúsdóttir (born 1993), Icelandic footballer Þórdís Kolbrún R. Gylfadóttir (born 1987), Icelandic politician Þórdís Kristmundsdóttir (born 1948), Icelandic professor Thordis Loa Thorhallsdottir (born 1965), Icelandic politician