A group of thieves attempt a daring robbery of a football stadium.

Scientist Doctor Who accidentally activates his new invention, the Tardis, a time machine disguised as a police telephone box. Who, his two granddaughters Barbara and Susan, and Barbara's boyfriend Ian are transported through time and space to the planet Skaro, where a peaceful race of Thals are under threat of nuclear attack from the planet's other inhabitants: the robotic mutant Daleks.

Doctor Who and his companions are hurled into the future and make a horrifying discovery: the Daleks have conquered Earth! The metal fiends have devastated entire continents and turned the survivors into Robomen.