Combining Pseudo-inverse Ghost Imaging (PGI) with iterative denoising of ghost imaging, a pseudo-inverse iterative method was proposed for object reconstruction of ghost imaging. This method employed the reconstructed results of PGI as the initial values and selected an appropriate threshold value correlated to the noise interference. It also used iterative operation to approach the actual noise interference, and enhanced the Peak Signal to Noise Ratio (PSNR) of the reconstructed images by suppressing the noise in the end. By using PSNR and correlation coefficient (CC) as the yardstick, the reconstructed results of Pseudo-inverse Iterative Ghost Imaging (PIGI) were compared and analyzed with those of Differential Ghost Imaging (DGI) and PGI. The simulation experiment results show that the PSNR of the pseudo-inverse iterative method is about 1.0 dB and 3.1 dB higher than those of PGI and DGI respectively, and it′s CC and visual effects are also improved compared with PGI and DGI, which verify the validity of this method.