"Yu-Gi-Oh! Sevens" is set in Goha City, a futuristic metropolis where the card game Duel Monsters is governed by the Goha Corporation, which enforces strict rules and regulations on how the game is played. The protagonist, Yuga Ohdo, is a fifth-grade inventor and duelist who becomes disillusioned with the rigid and outdated rules imposed by Goha. Inspired by his desire to make dueling more fun and accessible, 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.

Yuga's invention quickly gains popularity among his peers, but it also attracts the attention of the Goha Corporation, which views Rush Dueling as a threat to their control over the game. The corporation dispatches its elite duelists, known as the Goha Siblings, to stop Yuga and his friends from spreading Rush Dueling. Yuga forms a group called the Goha 7th Elementary Rush Duel Club, consisting of his classmates and fellow duelists, including Luke, Romin, Gakuto, and Roa. Together, they aim to challenge the Goha Corporation's authority and promote Rush Dueling as a new way to enjoy the game.

As the series progresses, Yuga and his friends face various challenges, including rival duelists, corporate sabotage, and the mysterious appearance of a powerful entity known as the Maximum Monsters. These towering creatures, which require three cards to summon, become a central focus of the story as Yuga and his friends strive to master their use while defending their right to duel freely. The narrative also explores the personal growth of the main characters, their relationships, and their individual motivations for dueling.

The Goha Corporation's true intentions are gradually revealed, uncovering a deeper conspiracy involving the manipulation of dueling technology and the suppression of creativity. Yuga's journey becomes not only a fight for the freedom of dueling but also a quest to uncover the truth behind the corporation's actions and protect the future of the game he loves. The series balances lighthearted moments with intense duels, showcasing the evolution of Rush Dueling and its impact on the world of Duel Monsters.