Set in the then-future year of 1983, the series tells the tale of the crew and passengers of a sub-orbital transport spaceship called the Spindrift. In the pilot episode,The Spindrift, which is a vehicle of space tourism, is on route from Los Angeles to London via the ultra fast route of earth orbit. Just beyond Earth's boundary with space, the Spindrift encounters a strange space storm and is transported to a mysterious planet where everything is twelve times larger than its counterpart on Earth, including the human inhabitants. The Spindrift crew calls the inhabitants "the giants". If an average Earth human is about six feet tall, an average "giant" will be about 72 feet tall. The Spindrift crashes on this planet and becomes inoperable.

These giants are in form entirely human, but their society is a dictatorship of which not too many details are given, and which employs no symbols. The giant government has put a reward out for the capture of the tiny Earth people, presumably because of the Earth people's superior technology. Episodes often have the plot of giants capturing one of the passengers or crew, with the rest having to rescue the captured one. The Earth people avoid capture most of the time because their spaceship is hidden in a forest outside the city.

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