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In order to improve the visual effect of the high dynamic image display, a tone mapping algorithm based on local linear transformation is proposed. A local linear transformation model is proposed in this paper, which is based on the poor ability of direct linear compression of the image. Due to the structure of the local window, using the mean of other pixels within the local window of the central pixel point and window, the covariance structure, therefore based on local linear transformation of the color gamut mapping algorithm is able to suppress by having a high contrast image edge caused by ghosts and halo phenomenon. Firstly, according to the linear transformation will be the image color gamut mapping function to be solved for the optimal solution; secondly, through the derivation of a linear transformation parameters and functional optimization problem is transformed into solving a linear equation group; finally solving a linear system of equations that visual effects better low dynamic range images. Effectively avoid the phenomenon of halo and brightness of the traditional color gamut mapping is discontinuous, able to retain more high dynamic image details. Finally, through the comparative analysis of experimental results, the algorithm is better than other algorithms in this paper.