We have fabricated the non-close-packed photonic crystals of SiO2 microspheres with the help of the modified vertical method, the thermal sintering technology and etching. The face-centered cubic photonic crystals of TiO2 hollow spheres connected by TiO2 cylindrical tubes have been fabricated using silica template. The structure of the non-close-packed opals was characterized by scanning electron microscopy. We performed photonic band-structure calculations of this structure by a plane wave expansion method. The calculations indicate that the photonic bandgaps at all points of the Brillouin zone in non-close-packed structure were opened except point W.