Basically, the architecture model of cloud computing provides the storage capacity as a service over the internet. The main intent of cloud computing is to provide services of security to the users and owners of data. Several security issues are appeared due to appropriate control of data. Hence in this paper the data integrity and ensuring computation using MHT in cloud computing is developed. In this first the data owner will select the initial parameters and choose the random function. The parameters are selected based on the generation of encrypted data blocks (EDB's). After choosing function random key is computed. Now the Third Party Auditor (TPA) will initialize the data for verification. All this data is stored in the cloud server. This cloud server will follow the cloud service provider rules. Hence data which is obtained from server will computes and generate the signatures using MHT. After generation the path of the node will be identified. At last the obtained data is tested.