"Baki Hanma" is a continuation of the "Baki" series, focusing on the titular character, Baki Hanma, a young martial artist determined to surpass his father, Yujiro Hanma, known as the strongest creature on Earth. The narrative delves into Baki's relentless pursuit of strength, exploring his growth through intense battles and personal challenges. The series is set in a world where underground martial arts tournaments and brutal street fights are commonplace, showcasing a variety of fighters with unique styles and backgrounds.

The plot revolves around Baki's preparation for an ultimate showdown with his father. Along the way, he encounters numerous formidable opponents, each with their own motivations and fighting techniques. These encounters serve as both physical and mental tests for Baki, pushing him to his limits and beyond. The series also highlights the relationships and rivalries between Baki and other fighters, adding depth to the narrative.

Key characters include Yujiro Hanma, whose overwhelming strength and ruthless nature make him a constant shadow over Baki's journey. Other significant figures include Doppo Orochi, a master of karate and one of Baki's mentors; Kaoru Hanayama, a yakuza boss with immense physical power; and Biscuit Oliva, a convict with extraordinary strength who becomes both an ally and a rival to Baki. Each character brings their own unique fighting style and backstory, contributing to the rich tapestry of the series.

The storyline is driven by intense combat sequences, strategic martial arts, and the psychological aspects of fighting. Themes of perseverance, the quest for power, and the complexities of familial relationships are central to the narrative. The series maintains a focus on the physical and emotional struggles of its characters, providing a comprehensive look at their journeys within the martial arts world.