Abstract: Cloud storage is an important service provided by cloud computing, which allows data owners to move data from their local computing systems to the cloud. At the same time, owners also can access the data from the cloud server conveniently and efficiently, without the data burden of local storage and maintenance. However, this new paradigm of data hosting service also introduces new security challenges. An important problem is that how to ensure the remote data integrity in the cloud storage. So, owners and cloud servers require an independent, stable and secure auditing service to check the data integrity in the cloud. In the same time, a good auditing scheme is also required to meet the following requirements: it should support the data dynamic operation including insert, delete and modify; it should support batch auditing of multi-user and multi-server in the cloud; it also should ensure the privacy of owner's data and pay attention on efficiency about reducing the computational cost and the communication cost between data owners and cloud server. In order to promoting the storage service widely used and popularized, the focus of this paper is to review the research on cloud data integrity audit protocols, describe the related concepts and features of data integrity verification, and propose the audit model and security requirements of data integrity verification and state the present research on data integrity audit protocolsin the cloud storage. By the schemes comparison, each protocol's advantages and disadvantages are pointed out. Then this paper introduces some classical schemes and also points out the future research orientation in the field.