This paper uses a gray correlation algorithm to analyze the relationship between enterprise human resource management, enterprise structure, and enterprise image. By determining the sequence of characteristics and the sequence of factors of human resource management, the main factors affecting corporate structure and corporate image are analyzed. The gray correlation axiom and gray correlation degree are used to determine the degree of influence that human resource management has on enterprise structure and image. The gray correlation between the three is calculated by combining the steps of gray correlation calculation and gray correlation analysis. The results show that from the results of correlation coefficient calculation, the correlation coefficient of human resource management on enterprise structure and imagination is high. The correlation coefficient between enterprise structure and leadership level is 0.598, and the correlation coefficient between leadership level and employee turnover rate is 0.541. Human resource management can influence the degree of embodiment of the enterprise to a certain extent, and when the enterprise’s human resource management is perfected, the embodiment of the enterprise’s product image degree is the highest at 0.75, and that of the visual image is 0.7.