One of the effective ways of preventing unauthorized access to sensitive information such as medical and military images, is encryption. DNA encryption is one of the newly-emerged fast paced technologies which works based on DNA calculation concept and could be used to store and transfer data. It can be demonstrated that its advantages are fast speed, its minimum storage, and power usage in the context of DNA calculations. This article presents a new color image encryption concept. First, the color image is divided into three color factors of red, green and blue, then we disassemble pixel places of the color factors using Lorenz hyperchaotic Model, to run the pixel connections together. Therefore, each of the color factors of red, green, blue, transforms into DNA sequences using DNA encryption rules. Thus, the Chen hyperchaotic systems are repeated, three chaotic sequences emerge which transform into DNA sequences. Chaotic sequences were used for DNA sequence encryption. Security analyzes and experimental results show that the proposed method with a large key space, is resistant to various attacks. The correlation between the pixels next to each other is greatly decreased in the encrypted image and the amount of entropy is 7.9991.