In order to solve the problem of using the serial encryption having the problem of low efficiency,a parallel encryption algorithm is proposed based on double chaos system. Firstly,the parallel encryption model based on Map-Reduce for big data environment is designed. Then the parallel chaos system based on Logistic mapping and Tent mapping is designed,and the Map function,sort function and Reduce function are all designed,the Logistic mapping and Tent mapping is iterated to compute the encryption and decryption key in the Map function,and the data from Map function is merged to obtain the output data in the Reduce function,and the iteration initial value is computed and stored in the history data information for Logistic mapping and Tent mapping. The simulation experiment shows that the parallel model Map-Reduce model designed in this paper can achieve the encryption and decryption for big data,and it can improve the safety for data and enlarge the encryption efficiency with strong feasibility.