How to create a people-oriented and unique public art space has become an ongoing concern for urban designers and industry scholars. In this paper, based on the artistic design characteristics of the public space environment and its main functions, a questionnaire is designed to obtain the public’s satisfaction with public art space and perception of multidimensional elements in art design. The multidimensional analysis method is proposed based on the VAR base model. The cointegration test examines the stability of the model. Then, the impact of the dimensional elements of art design on public satisfaction of the public space environment is analyzed by the impulse response and variance decomposition methods. The cointegration test shows that there is a correlation between satisfaction, acceptance, and sense perception of public spaces and perception of art design, which supports the subsequent research. Regionality and diversity in art design were found to be Granger’s causes of public satisfaction and acceptance of public art space environments at the 1% confidence level (p<0.01). In addition, after a 2-period impulse response delay, the variance contribution of morphological and textual elements to public satisfaction, etc. It was kept at a significant level (2.055%-4.994%). This paper provides a theoretical basis and a methodological exploration for art design research in the field of public art space.