The sensitive and personal information size is increasing where the data collectors gather the information. Those information are processed and stored within the premises of cloud. The cloud environment is susceptible to vulnerabilities and threats. The information engrossed within the cloud is huge and the information may be confidential or personal that may suspected to breach or hack. This situation necessitated an effective security system for protecting the information from eavesdroppers and hackers. The confidentiality of the information’s are secured by cryptographic based outsourced model for the cloud. In this article, harmonic encryption (HE) for outsourced data in the cloud computing is discussed and different HE technique in the context of cloud computing elaborated with their significant insights. The cryptographic schemes are compared and contrasted in terms of task, technique and verifiability. Finally, this article depict the research challenges and also gives the future direction for the progression of research.