"Yu-Gi-Oh! Sevens" is set in the futuristic city of Goha, where the card game Duel Monsters has become a central part of society, governed by strict rules and regulations. The protagonist, Yuga Ohdo, is a fifth-grade inventor who finds the current state of dueling overly rigid and uninspiring. Yuga creates a new, faster-paced version of the game called Rush Dueling, which allows players to summon as many monsters as they want in a single turn and draw until they have five cards in hand. This innovation challenges the established norms of Duel Monsters and sparks a revolution among the youth.

Yuga's creation of Rush Dueling attracts the attention of Goha Corporation, the entity that controls all aspects of Duel Monsters in the city. The corporation views Rush Dueling as a threat to their authority and attempts to suppress it. Yuga, along with his friends Luke, Gakuto, Romin, and Kaizo, forms a group called the Goha 7th Elementary Rush Duel Club to promote and defend their new style of dueling. Together, they face off against various opponents, including Goha Corporation's enforcers and rival duelists, to prove the legitimacy and excitement of Rush Dueling.

As the series progresses, Yuga and his friends uncover deeper secrets about Goha Corporation and its connection to the origins of Duel Monsters. They encounter powerful duelists, such as the enigmatic Nail and the mysterious Otes, who challenge their skills and resolve. The group also discovers ancient technology and hidden histories that suggest Rush Dueling may have a more significant role in the world than they initially realized.

The narrative explores themes of innovation, rebellion, and the power of friendship, as Yuga and his friends strive to create a world where dueling is accessible and enjoyable for everyone. The series balances lighthearted moments with intense duels, showcasing the unique strategies and creativity that Rush Dueling brings to the Yu-Gi-Oh! franchise. Through their journey, Yuga and his friends not only revolutionize the game but also challenge the societal structures that seek to control it.