Self-organization of PbS into quantum dot superlattices has been demonstrated for the first time, and hexaplanar colloidal crystals 1 - 10 μm in size made from PbS quantum dots 3 - 6 nm in diameter are revealed in transmissionelectron microscope micrographs, and the inner structures of the superlattices can be seen by a high resolution transmission electron microscopy. The optical absorption and photoluminescence spectra have been recorded. The ordering of the superlattices is crucial for the understanding of the fundamental properties of quantum-dot arrays, as well as for their optimal utilization in optical and electronic applications.