Competency is an effective tool for human resource management research. Compared with the traditional recruitment, which lacks the prediction of talents’ future performance and creativity, applying competency model to recruitment is conducive to building the core competitiveness of modern enterprises. In contemporary times, to bolster their competitiveness, enterprises must prioritize effective human resource management. This entails refining the recruitment system and attracting top-tier talent using a competency-based model. This paper explores the utilization of the competency model in managing enterprise human resource recruitment. Furthermore, it introduces a talent evaluation approach that integrates fuzzy theory with NN (neural networks). This method uses fuzzy transformation to transform the fuzzy evaluation of hierarchical indicators into the overall fuzzy evaluation, and uses BPNN (Back propagation neural network) to calculate the final result corresponding to the overall fuzzy evaluation. The simulation results show that the MSE (Mean squared error) of this method is about 4.32, and the MAE (Mean absolute error) can reach 1.36, and the evaluation accuracy and reliability of the algorithm are high. It can improve the recruitment quality of human resources in enterprises and promote enterprises to have better development prospects.