We report the experimental observation of two-dimensional Talbot effect when a resonance plane wave interacts with a two-dimensional atomic density grating generated by standing wave manipulation of ultracold Bose gases.Clear self-images of the grating and sub-images with reversed phase or fractal pattes are observed.By calculating the autocorrelation functions of the images,the behavior of periodic Talbot images is studied.The Talbot effect with two-dimensional atomic density grating expands the applications of the Talbot effect in a wide variety of research fields.