For the imaging characteristics of multi-focus images, multi-spectral images and panchromatic images, since the Shearlet transform has better properties to sparse express the characteristics of the images, a kind of new image fusion rules is proposed. Moreover, based on the fusion rules, the algorithm of adaptive fusion rules based on Shearlet transform is proposed. In the algorithm of multi-focus images fusion, the different focus images are transformed with Shearlet transform respectively, and the decomposed low-frequency coefficients and high-frequency coefficients were fused according to the proposed fusion rules. It is verified that the proposed algorithm has better clarity and richer details information compared with many algorithms. Multi-spectral and panchromatic images fusion algorithm is proposed based on combination of Shearlet and HSV transform. Firstly, the multi image is transformed with HSV transform; then, the gotten V component is Shearlet transformed with pan image and the specific fusion rules is chosen for the decomposition coefficient in the fusion process; finally, the new V and H,S components are transformed with inverse HSV transform. This algorithm reached a good balance in the two aspects of spatial resolution and spectral characteristics. The fused images can reduce spectral distortion, and effectively enhance the spatial resolution. The simulation experiments show that the proposed algorithm has better fusion performance and visual effect, compared to traditional multi-spectral and panchromatic images fusion algorithms.