When customers are transferring their private data to any third party, then there is much responsibility of both security and compliance. There exist hurdles in mainly two aspects - one is in the users' or customers point of view, where they want to ensure the privacy of its input parameters and results. Another is to cloud servers point of view, where cloud entity is worried about feasibleness of encrypted/transformed inputs and operating on them. Thus, users would not like to submit their private problem data inputs to the cloud. encrypting the private data prior to submission to cloud is a usual solution. Here in this paper, we have suggested a framework for cloud data security and presented the detailed construction of our proposed homomorphic encryption system. Along with that the security and correctness analysis of our proposed construction is given. The scheme satisfies both Additive and Multiplicative homomorphism properties. © 2019 Inderscience Enterprises Ltd.