Three essentially different models of the galaxy distribution are currently in use: the supercluster model, the void model, and the sponge model. If the hard X-ray backgroud radiation in the sum of the radiation of unresolved discrete sources at large cosmological distances, then it is quite possible that these sources also exhibit the large scale structure of galaxies. The HEAO-A limits on the intensity fluctuations of the X-ray backgroimd are ušed to discriminate between three distribution models. These observations indicate a preference for the sponge-like model.