The visual attention model has become the main approach to simulate the human fixation. in order to improve the deficiency of several pre-existing visual attention models, this paper proposes a visual attention model based on 2-dimensional discrete FrFT. First, we model saliency map mathematically in theoretical background of 2-dimenshional FrFT. Second, we analyze several models feature and provide the comparison of simulation results in the noise interference conditions, and Noise Sensitivity Scale (NSS) is proposed. Third, we analyze the Pre-recall and Roc curves using the image database of MSRA 10K, experiments show that the proposed model can simulate human fixation in some extent.