In the era of knowledge economy, enterprises are facing unprecedented competition and challenges. The process of globalization has accelerated the communication and integration between different cultures, making cross-cultural management an indispensable ability for enterprises. Especially in the field of human resource management, it is of great significance to build a competency model based on data mining technology to improve the cross-cultural communication ability, teamwork ability, and innovation ability of enterprise managers. The application of competency theory in the field of human resource management has the potential to completely revolutionize traditional management practices, enabling better adaptation to the continuous changes in the management environment. It plays a significant role in promoting the reform of the human resource management system. The aim of this paper is to build a competency model of human resource managers based on data mining technology and verify its effectiveness in cross-cultural background. It is assumed that the model can accurately evaluate the ability level of human resource managers and provide reference for enterprises to select and train outstanding talents. The experimental results demonstrate that the model achieves an accuracy of approximately 89%, a 93.3% improvement in efficiency, and a salary range exceeding 90%. The model is deemed reasonable, feasible, and highly precise in terms of competency assessment.