Cloud computing is an on demand service where the user can obtain computer resources via the internet. Due to increase the advantages of cloud computing the individual users and organizations are store their data in cloud storage servers. But storing data in a third party cloud system is a serious issue. To avoid this issue the data's are encrypted before storing in storage server. The normal encryption system provides security but it does not support data integrity on the cloud storage server. To address this issue the research work proposed an Elliptic Curve Digital Signature algorithm, it provides data integrity and data origin authentication.