"Silent Möbius" is set in a futuristic Tokyo in the year 2028, where humanity faces threats from interdimensional beings known as Lucifer Hawks. These malevolent entities seek to invade and conquer Earth, exploiting advanced technology and supernatural abilities. To combat this threat, the Attacked Mystification Police Department (AMP) is formed, a specialized unit composed of women with unique psychic and magical powers. The AMP operates under the leadership of Chief Rally Cheyenne, a determined and resourceful commander, and includes members such as Kiddy Phenil, a physically strong and impulsive officer; Katsumi Liqueur, a skilled swordswoman with a tragic past; Nami Yamigumo, a reserved and powerful sorceress; Yuki Saiko, a genius inventor and technician; and Lebia Maverick, a former Lucifer Hawk who defected to the human side.

The narrative explores the AMP's efforts to protect Tokyo from the Lucifer Hawks while delving into the personal struggles and backstories of its members. Kiddy Phenil, for instance, grapples with her identity as a genetically engineered human, while Katsumi Liqueur seeks redemption for her family's dark history. Nami Yamigumo struggles with her connection to the supernatural, and Yuki Saiko balances her scientific brilliance with the emotional toll of her work. Lebia Maverick's past as a Lucifer Hawk creates tension and mistrust within the team, adding layers of complexity to their dynamic.

As the series progresses, the AMP uncovers deeper conspiracies involving the Lucifer Hawks and their connection to humanity. The team faces increasingly powerful adversaries, including rogue humans who collaborate with the invaders for personal gain. The story also introduces Roy Warner, a mysterious detective with ties to the AMP, whose involvement adds further intrigue to the plot. Themes of sacrifice, loyalty, and the clash between technology and mysticism are woven throughout the narrative, culminating in high-stakes battles and emotional confrontations.

"Silent Möbius" blends elements of science fiction, fantasy, and police procedural, creating a unique setting where advanced technology coexists with ancient magic. The series balances action-packed sequences with character-driven storytelling, offering a mix of intense combat and introspective moments. The AMP's fight against the Lucifer Hawks serves as a backdrop for exploring themes of identity, redemption, and the resilience of the human spirit in the face of overwhelming odds.