To get a more accurate fusion image with richer informationthe Finite Discrete Shearlet Transform (FDST) is used to improve the multi-focus image fusion algorithm.The perfect translation invariance of FDST and its high efficiency of decomposition and reconstruction are used to obtain the coefficient of high- and low- frequency sub-band by multi-scale and multi-direction decomposition.The fusion method of adaptive weighting used together with regional standard deviation matching is used for the high frequencyand the non-negative matrix factorization of improved gradient projection is used for the low frequencythen the high- and low-frequency sub-bands after fusion are obtained respectively.At lastthe fusion image is reconstructed by FDST inverse transform.The experiments on multi-focus image show thatwith the improved methodthe fusion image is more distinct in subjective visionhas better objective indexes with shorter running time.The fusion result not only retains the rich and effective information of the source imagebut also has a good effect.