In order to improve the manufacturing project management ability, from the perspective of project management ability evaluation, this paper analyzes the manufacturing project management ability combined with big data technology, and constructs the project management ability evaluation model. Moreover, this paper designs a manufacturing project management maturity evaluation model based on fuzzy mathematics. In addition, this paper analyzes manufacturing project management and capability maturity evaluation models and related theories of fuzzy mathematics, and focuses on the management process and knowledge system of manufacturing projects. Through simulation research, it can be known that the evaluation model of manufacturing project management capability based on big data technology proposed in this paper has good practical effects. Moreover, the implementation of effective research and development project management can increase the success rate of research and development, reduce waste of resources, improve innovation capabilities, and ultimately enhance the core competitiveness of the enterprise.