Cloud based e-learning is the method to reduce cost and complexity of data accessing, which are controlled by third party services. Traditional e-learning methods are incorporated with cloud computing technology to provide massive advantages to the academic users but it compromises in security aspects. Proposed methodology ensures data availability and provides solution to protect indispensable data from the attackers. This paper identifies different security issues in cloud service delivery model with an aim to suggest a solution in the form of security measures related to the cloud based e-learning.