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Aiming at the problem of data security in cloud computing environment, a hybrid hyper chaotic encryption algorithm based on cloud computing is proposed. Firstly, the initial values of three hyperchaotic systems are chosen as the key parameters, and the chaotic sequences with good random characteristics are generated by the more complex dynamical behavior of hyperchaotic systems; Then, three hyperchaotic systems are pre-processed, and then a mixed hyperchaotic block encryption scheme is designed; Finally, a parallel hyper chaotic encryption algorithm is designed based on the distributed programming model of cloud computing in MapReduce. Experimental results and analysis show that the algorithm has the characteristics of high efficiency, large key space and good key sensitivity.