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The three-dimensional reconstruction of porous media is of great significance to the research of mechanisms of fluid flow in porous media. However, it is quite difficult to reconstruct the unknown information only by some sparse known data in the process of reconstruction. Therefore, some interpolation or extrapolation methods are used to reconstruct the unknown region for better results. Sequential indicator simulation (SISIM) combines the indicator kriging (IK) with the sequential method to simulate non-parametric continuous or categorical distributions. There are only two states which are grains and pore spaces existing in the porous media, so the categorical case of SISIM will be used for reconstruction of porous media. This method is tested on the three-dimensional reconstruction of sandstone. The reconstructed images and the original image are compared. The experimental results demonstrate that the structures of porous media reconstructed through this method are similar to those of original data.