The animation style of Haikyuu!! enhances the storytelling by dynamically showcasing the intense sports action and emotional character moments. The fluid and detailed animation brings the volleyball matches to life, making the audience feel the tension and excitement of each play. Additionally, the use of expressive character designs and animations helps convey the emotions and growth of the characters, deepening the viewers' connection to the story. Overall, the animation style of Haikyuu!! adds an immersive and engaging layer to the storytelling, making the series more impactful and memorable.