Abstract Cloud computing has the characteristics of super computing power, low cost and high security, as well as providing powerful data storage and network services. In the commercial field, it has begun to take shape. This paper attempts to introduce cloud computing technology into the construction of digital archives, analyzes the possibility and reality of the application of cloud computing technology services in the service and management of digital archives from the common point of view of cloud computing services and digital archives, and puts forward the corresponding ways of cloud computing application in digital archives. This paper analyzes and integrates all kinds of risks that digital archives may face under the cloud computing environment, and establishes the security evaluation index system including the security elements of information system and cloud computing technology. In this paper, fuzzy comprehensive evaluation method is used to evaluate the mathematical model of cloud digital archives security evaluation system, and a set of security evaluation system suitable for cloud digital archives is proposed.