A method is presented to correct the errors of elemental images due to position deviation of cameras in the process of camera array pick-up of three-dimensional (3D) integral imaging. By calculating position coordinates of reference points and position errors of camera array, the accuracy of correction algorithm and the relationship between position errors of camera array and elemental images are analyzed. Optical experimental results verify the feasibility of the proposed method. The results show that, the proposed method can effectively eliminate the effect of position deviation of camera array on the elemental images array and the reconstruction 3D images with better quality can be achieved after correction. The comparison of reconstruction 3D images before and after correction indicates that the errors of elemental images captured by camera array are corrected successfully with value of peak signal to noise ratio 33.6 percent improved, which can satisfy the display requirement of integral imaging.