In the distant future, the giant blue
humanoid Draags have brought human beings (who are called Oms) from
Earth to the planet Ygam, where the Draags maintain a technologically and spiritually advanced society. The Draags consider Oms animals, and while they keep some as
pets, others live in the wilderness and are periodically slaughtered by the Draags to
control their population. Draags have much longer lifespans than Oms, but reproduce much less. When an Om woman is killed by three Draag children, her orphaned infant is found by Master Sinh, a key Draag leader, and his daughter Tiwa, who keeps the boy as a pet and names him Terr. Tiwa loves Terr and is careful not to hurt him, but, in accordance with her parents' instructions, gives him a
collar with which she can pull him in any direction. She brings Terr to sessions in which she receives her education using a headset that transmits knowledge into her mind; a defect in Terr's collar allows him to receive the knowledge too. Around the time that Tiwa grows into her teens and first performs Draag
meditation, which allows the species to travel with their minds, she loses some interest in Terr, who has become a young man and acquired much Draag knowledge. He escapes into the wilderness, stealing Tiwa's headset. There he runs into a wild female Om, who cuts off his collar and introduces him to her
tribe, which lives in an abandoned Draag park full of strange creatures and landscapes. Terr shows them how to use the headset to acquire Draag knowledge and literacy, winning the right to do so in a
duel. The literacy they gain allows them to read a Draag announcement that the park will be purged of Oms, and, when the purge comes, some are slaughtered by Draag technology while others escape, joining forces with another tribe. They are attacked by two Draag passers-by and manage to kill one of them before escaping to an abandoned Draag
rocket depot, much to the outrage of Draag leaders. They live there for years, joined by many other Oms. Due to the knowledge acquired from Terr's headset, they manage to replicate Draag technology, including two rockets; they hope to leave Ygam for its
moon, the Fantastic Planet, and live there safe from Draags. When a planet-wide Om purge begins, a group led by Terr uses the rockets to flee to the Fantastic Planet, where they discover large
statues that Draags travel to during meditation and use to meet beings from other galaxies in a strange mating ritual that maintains their species. The Oms destroy some of the statues, threatening the Draags' existence; the genocide of Oms is halted on Ygam, and, facing a crisis, the Draags negotiate for peace. After reaching peace, the Oms leave the Fantastic Planet to the Draags for their meditations and build an
artificial satellite named 'Terr' as their new home. This leads to an era of peaceful coexistence between the two species, who now benefit from each other's way of thinking. ==Voice cast==