In order to improve the speed of image reconstruction of ASD-POCS algorithm, the convergence fac-tor of the ART part is improved, which can lead to the ASD- POCS algorithm converges faster. For reducing the iteration time, the improved algorithm is accelerated on GPU and reconstructing Shepp-Logan model. Un-der the premise of dealing with the same amount of data and ensuring the quality of image, the results indicate that the speed of improved ASD-POCS algorithm based on GPU is nearly 2 times faster than that of the ASD-POCS algorithm based on CPU, achieving the purpose of acceleration.%为进一步提高ASD-POCS算法的图像重建速度，对ART部分的收敛因子进行改进，提高该算法的收敛速度，同时将改进的算法在GPU上进行加速以减少算法的迭代时间，并对Shepp-Logan模型进行重建，实验表明：在数据量相同且保证成像质量的前提下，基于GPU加速的改进ASD-POCS算法较基于CPU的ASD-POCS算法运行速度提高了近2倍，达到了加速的目的。
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