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Through the analysis of relationship between chaotic characteristics and cryptology, putting forward a chaotic algorithm of image encryption with double keys. Using the discrete Logistic map to produce the chaotic sequence, the original value of the sequence is regarded as the secret key. Then using the discrete Logistic map to produce the corresponding scrambling sequence, in order to utilize it to carry out the gray scrambling and location scrambling on the pixels that getting discretely from the image, so as to realize the image encryption. Finally using Matlab to actualize the simulation experiment, and the result indicates that this algorithm has widest secret key's space, and the ability of resisting statistic attack.