According to one embodiment, a depth correction apparatus includes a clusterer, a calculator and a corrector. The clusterer is configured to apply clustering to at least one of pixel values and depth values of a plurality of pixels in a calculation range corresponding to a correction target pixel, and to classify the plurality of pixels in the calculation range into a plurality of classes. The calculator is configured to calculate pixel value statistics of the respective classes using pixel values of pixels in the respective classes. The corrector is configured to determine a corresponding class of the correction target pixel based on a pixel value of the correction target pixel and the pixel value statistics of the respective classes, and to apply correction which replaces a depth value of the correction target pixel by a representative depth value of the corresponding class.