This paper explores the development history and modern design innovation of Chinese ceramic packaging containers through multivariate statistical analysis, revealing their essential role in the market and cultural heritage. The development history and contemporary design innovation of Chinese ceramic packaging containers are studied in depth. The study finds that ceramic packaging containers have evolved from prehistoric hand-kneaded small pieces to the present, constantly incorporating new crafts and cultural elements. Regarding formal aesthetics, the use of rhythm and rhyme in ceramic packaging containers grew at 81.13% between 2015 and 2020, suggesting that designs tend to be more dynamic and expressive. Data analysis shows that the key factors influencing the design of ceramic packaging containers include process technology, trade development, cultural concepts and religious beliefs. Regression analysis indicates that these factors significantly positively impact the design quality of ceramic packaging containers, with a model fit of 63.52%, revealing that these factors jointly promote the improvement of design quality. Innovative combination of traditional elements and modern technology is the key to fostering innovation of ceramic packaging container design and cultural heritage. The market competitiveness and cultural value of ceramic packaging containers can be effectively promoted by emphasizing the development of craft technology and the integration of cultural elements.