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The initial sensitivity of chaotic map makes its application more and more widely. The image encryption algorithm based on chaotic theory is a hot researching field recently. Confusion and diffusion are necessary methods to realize the image encryption. However, using the initial sensitivity and randomness of chaotic map can realize the purpose of confusion and diffusion. S-DES system can encrypt the input binary flow of image, but the fixed system structure and few keys will still bring some risks. However, the sensitivity of initial value that Lu chaotic map can be well applied to the system of S-DES, which makes S-DES have larger random and key quantities. A dual image encryption algorithm based on S-DES and Lu map is proposed. Compared to traditional methods, it has some merits such as easy to understand, rapid encryption speed, large keys and sensitivity to initial value.