The influence of intensity correlation order on correlated imaging for moving target was researched. The image quality of correlated imaging for tangential and axial moving target in different intensity correlation order was discussed by changing the signal light order and the reference light order.Based on the schematic of Nth-order lensless correlated imaging for moving target, analysis of the influence of different intensity correlation order was performed with emphasis on the correlated imaging mathematic model, and the simulation experiments were performed. The results suggest that it can not effectively eliminate the motion blur by changing the intensity correlation order, and the image quality will be better with the increase of signal light order. However, the best quality can be obtained by the lowest-order with background subtraction, and the image quality of axial moving target will decrease more serious.