Now-a-days in most of the sectors digitization has taken place to store data and process it easily with enhanced techniques. Online transactions produce very huge data daily in various sectors like health care, military, government office. To store huge data many firms, take the help of third-party organizations and store data on machines provided by them which creates new security issues. While performing operations on the data or accessing data metadata leakage may happen due to untrustworthy systems. This paper proposed hybrid oblivious random-access memory (HORAM) offers users to access their data from untrusted storage devices without sharing any information about their access patterns or techniques. Here random data block shuffling approach is used which helps in hiding storage policies about the user data blocks placement and preserving privacy of data. HORAM techniques perform pullpush operations on data in a parallel manner which in turn minimizes network overhead and reduces the execution time of operation. An extensive experimental analysis of the proposed system produces better results than weak and strong Federated oblivious random access memory (FEDORAM) respectively. The method is faster than weak FEDORAM and strong FEDORAM as it takes 0.96 seconds for communication with 5 servers whereas weak and strong FEDORAM takes 1.5 and 2 seconds respectively for reading and writing data.