Color digital images are one of the most widespread and widely used types of data, and the image can be secret or of a special nature, or it can be a carrier of confidential data, which makes protecting it very important. In this research, a new method for protecting color digital images will be presented, and the ease of implementing this method and its suitability for any digital image will be shown. The proposed method will provide a high degree of security and provide a high degree of protection for the digital image through the use of a complex private key based on chaotic logistic map model, six chaotic key will be used to form six integer keys, and these keys will be resized to match the dimensions of each color channel. The proposed method will use two rounds of data cryptography; each round will require three private keys, one for each color. Different variations of CLMM will be used to generate 1D and 2D chaotic keys, the results of using 1D chaotic keys will be compared with the results of using 2D chaotic keys and some recommendations will be raised. The proposed method will be implemented, different types of results analysis's (Quality analysis, sensitivity analysis, and throughput analysis) to improve the enhancement provided by yje proposed method comparing with other existing methods.