Image reconstruction is one of the key technologies in industrial computed tomography. In this paper, an efficient iterative image reconstruction algorithm in industrial computed tomography with the narrow fan-beam projection based on data mining was discussed in detail. In image reconstruction, algebraic technique has un-replaceable advantage when data is incomplete or noise is high. However algebraic method has been highly limited in applications for its low reconstruction speed. In order to resolve this problem, the algebraic reconstruction technique (ART) as a new iterative method, is introduced to accelerate the iteration process and increase the reconstruction speed. Experiment results clearly demonstrate that the algorithm reconstruction technique can effectively improve the quality of images reconstruction in dealing with incomplete projection or noisy projection data.