A depth processing apparatus includes a depth buffer, an early depth processing circuit, a post depth processing circuit, and a depth processing controller. The depth buffer stores depth information of a plurality of pixels of a screen space. The early depth processing circuit performs early depth processing based on at least a portion of the depth information before a pixel shading stage. The post depth processing circuit performs post depth processing based on at least a portion of the depth information after the pixel shading stage. The depth processing controller manages a plurality of dependency indication values corresponding to a plurality of sub-regions in the screen space, respectively, and configured to control a first pixel for undergoing at least one of the early depth processing and the post depth processing by referring a first dependency indication value of a first sub-region in which the first pixel is located.