Recently, the color image encryption technique using the chaotic system and DNA bases hasattracted great interest from the research community.The current research presents a study in an efficient methodfor color image encryption by using Hyper-chaotic Lorenz system with Hyper-chaotic Rösler system and DNAcoding. Where the Secure Hashing Algorithm-256/384 was presented first, due to the need for chaotic systems tohave initial values (primary key), which are obtained using this hashing function.Then the study presented the useof Hyper-chaotic Lorenz system and its chaotic sequences generated, as it turns the normal color image into adistorted image. By mixing the three components (red, green and blue) of the color image. Finally, the use of acombination of methods to encode mixed components is shown to achieve significant randomness, Hyper-chaoticRösler system is shown as well as XOR operations are applied between image DNA components and DNAsequences that are generated on the basis of Hyper-chaotic Rösler system. then decode the DNA components of theimage; Thus, the final encoded image is generated. The use of these methods of encryption is more efficient whencompared to the previous many color image encryption algorithms, as these methods are safer for attacks, and thiswas proven by studying the histogram (graph) in addition to the use of DNA and its characteristics, the mostimportant of which is DNA encryption additional technique. It has characteristics, such as wide parallelism andlarge storage capacity, which make it a very promising field and thus use DNA and messy functions will provideimage protection in an efficient way. Messy maps and DNA technology are two of the most popular topicscurrently used in image coding, in combination or separately. These two technologies have good security featuresand can be used to secure digital images. Chaotic systems' sensitive initial conditions, unpredictable and nonperiodic ideal statistics, and other attributes enable them to build secure cryptographic systems. Numerousbeneficial properties of computational parallel DNA computing have been discovered on a large scale, less powerloss, and a large amount of storage space. This is what this study sought to find an encryption technology thatmaintains a high level of strength against encryption attacks