This paper focuses on how the cultural industry affects economic growth through the theory and model of cultural economics. Based on the development of the economic growth model endogenized by the cultural industry, it explains how the arts and entertainment sector and the digital economy play a crucial role in the long-term economic growth after examining the logic and mechanism of the cultural industry impacting economic growth through induction and theoretical derivation. To create a quantitative analytical model of the digital economy and cultural industry and investigate the relationship between them, multiple regression analysis is employed. The impact of individual aspects of each condition variable on the economic performance composition of the cultural industry is evaluated using group effects. The results of the NCA test demonstrate that the digital economy, the scale of the cultural industry, public participation, and resources are all necessary for the sector to perform economically. The effect sizes of these factors are (0.525, 0.540), (0.362, 0.347), (0.315, 0.363), and (0.271, 0.188). The digital economy’s regression coefficients, which are usually positive, are0.470, 0.461, 0.428, 0.422, 0.383, and 0.381, according to the regression study. According to this study, the cultural sector’s growth at a high standard is positively impacted by the digital economy.