In order to resolve the problem that the existing Retinex algorithm for the image processed could not achieve the enhancement of color and detail at the same time, and the enhancement of detail easily produced halo, noise amplification, color distortion, etc., a haze image enhancement algorithm based on the fusion strategy of Retinex model was proposed. Firstly, the color enhancement was achieved in HSV space, and the reflection component without color distortion was obtained according to the luminance component. Secondly, in the RGB space, the fast bilateral filter was used to preserve the detail of the image. On the basis of obtaining the reflection component, the original part and the color recovery factor were introduced to realize the detail enhancement. Finally, the processed image was weighted and fused in the RGB color space and then the dehazed image was obtained. The haze image which was dehazed by the proposed algorithm and the existing algorithm could obtain different dehazing results. The dehazed image obtained by the proposed algorithm increases the detail information, and there is no obvious color distortion and halo phenomenon, and the information entropy of the processed image is improved. This algorithm has shorter computation time and good operability. According to the experimental results and evaluation criteria, the proposed algorithm could achieve a good effect of detail enhancement on the basis of reducing color distortion.