Traditional handicraft art faces the risk of loss. Due to the advancement of modernization, the inheritance of traditional handicrafts faces many difficulties and challenges. Digital interaction design provides a new way of inheritance for traditional handicrafts, which can better protect and inherit the cultural connotation and artistic value of folk batik art. Based on the interaction between art and philosophy, this paper analyzed the digital interaction design of the protection and inheritance of folk batik art. According to the experimental results, based on the protection and inheritance of folk batik art from the perspective of the interaction between art and philosophy, digital interaction design is a very effective way and means to inherit and display the cultural connotation and artistic value of folk batik art in a broader range. At the same time, it can also stimulate users’ creativity and innovative awareness, and promote the innovation and development of folk batik art. In digital interaction design, this paper needs to consider the user’s use habits and needs, pay attention to the evaluation and promotion of cultural inheritance effect, so as to constantly improve and optimize digital interaction design, and better serve the protection and inheritance of folk batik art.