Integrating intelligent terminal devices into product packaging to amplify brand influence represents a significant trend in contemporary packaging design research. This study introduces an augmented reality (AR) cultural product packaging design model predicated on the principles of AR packaging visual information interactivity and content interaction. This model facilitates a precise comprehension of shifts in user preferences for cultural product packaging. It primarily employs computer vision technology for AR tracking and registration, ensuring accurate overlay of virtual objects onto real-world spaces. Within the scope of this model, user experience metrics—ease of use, interactivity, and satisfaction—were quantitatively assessed, yielding scores of 14.523, 13.49, and 13.918, respectively, with variance values spanning from 0.031 to 0.1418. Notably, users rated the packaging design creativity of cultural product A, which utilizes this model, highest at 6.66. This demonstrates that the AR cultural product packaging design model delivers a stable and impactful user experience. Consequently, this research provides a robust and productive framework for advancing intelligent and interactive product packaging designs.