"Psychic Squad," also known as "Zettai Karen Children," is set in a world where psychic abilities have become a recognized phenomenon. The narrative centers around three young girls—Kaoru Akashi, Aoi Nogami, and Shiho Sannomiya—who possess extraordinary psychic powers. These girls are part of a special division within the B.A.B.E.L. organization, which is dedicated to managing and training psychics to prevent misuse of their abilities.

Kaoru, the most powerful of the trio, has telekinetic abilities that allow her to manipulate objects with her mind. Aoi is a telepath, capable of reading and influencing the thoughts of others, while Shiho possesses clairvoyance, enabling her to see events happening at distant locations. Together, they form the "Children" unit, tasked with handling various missions that require their unique skills.

The series explores their missions, which range from rescuing hostages to thwarting criminal organizations that exploit psychic powers. A significant portion of the narrative delves into the ethical implications of psychic abilities and the responsibilities that come with such power. The girls are guided by their mentor, Kyousuke Hyoubu, a former B.A.B.E.L. agent who has a complex relationship with the organization due to his own psychic abilities and past experiences.

As the story progresses, the girls face increasingly dangerous adversaries, including rogue psychics and shadowy organizations that seek to harness psychic powers for nefarious purposes. The series also examines the personal growth of the main characters, their evolving relationships, and the challenges they face in balancing their duties with their personal lives.

The narrative is structured around episodic missions interspersed with overarching plotlines that reveal more about the world of psychics and the organizations that govern them. The series combines action, drama, and elements of science fiction, creating a multifaceted story that appeals to a wide audience. The characters' development is a key focus, with each girl facing her own struggles and triumphs as they navigate their roles as both powerful psychics and young individuals growing up in a complex world.