Due to the appealing advantages of cloud storage, such as on-demand self-service and ubiquitous network access, an increasing number of users prefer to store their data on remote remote servers. However, outsourced data transfer becomes a critical requirement for users to shift their cloud storage providers because of the emergence of various cloud storage services with different qualities of services. Therefore, the users may not only be anxious about the state of their data on the cloud server, but also concern on whether the data are transferred entirely to the new cloud without corruption and whether the data on original cloud are discarded. To address these problems, we propose a provable data possession scheme for cloud storage services characterized by secure data transfer, provable data erasure, high error detection probability, confidential data storage. Our scheme can guarantee the remote data integrity when the data are maintaining on the cloud servers and are transferring between two clouds, and secure deletion of transferred data on the original cloud.