This study investigates the intrinsic logic underpinning art management policy construction amid the unique context of Chinese-style modernization. It explores how art's fundamental principles interact with disciplines like mathematics, philosophy, and technology, leading to innovative art forms and how these principles influence art's intrinsic meaning and the artistic process. The challenge of fostering high-quality art development involves balancing traditional cultural heritage with modernization's dynamic demands, aiming to satisfy individual aesthetic needs, affirm national cultural identity, and stimulate the art industry's growth. This necessitates a systematic approach to crafting art management policies that address the complex interplay between art, culture, and socio-economic development, aiming to enhance artistic innovation and the efficiency of the art industry's innovation chain. In the backdrop of a rapidly evolving policy environment, this research contributes to understanding art management policy in the context of Chinese-style modernization. It aims to clarify the intrinsic logic of these policies, explore the relationship between personal and national cultural identity, enhance the art industry's modernization level, and support national economic development through art. The study underscores the importance of integrating cultural policy, art management, and socio-economic development in the Chinese context, aiming to illuminate the paths through which art and policy can collectively contribute to a civilization that is uniquely Chinese and universally resonant.