The work aims to provide a comprehensive assessment approach of packaging enterprise cloud service vendors. Firstly, cloud service vendors were reviewed from the perspectives of application and management and the comprehensive assessment index framework of packaging enterprise cloud service vendors was established. Secondly, the difference of experience level and knowledge level of different experts was considered, and the expert weights were solved from historical samples through BP neural network. Thirdly, the FAHP improved based on expert weights was used to determine the subjective weighing of the index. CRITIC was used to determine the objective weighing of the index, and the final synthetic weight was solved based on its subjective and objective weights. Lastly, the candidate cloud service vendors were comprehensively evaluated and sorted by TOPSIS. The feasibility and effectiveness of the proposed method was demonstrated by an example of a packaging enterprise. Under the background of the deep integration of packaging industry and cloud computing, the proposed method for comprehensive assessment of cloud service vendors can provide support for the implementation of cloud manufacturing mode in packaging enterprises.