In the present paper, a new kind of honeycomb photonic crystal heterostructure(PCH) is proposed. The band gap structure of this photonic crystal heterostructure is investigated with supercell technique based on the plane-wave expansion method. The configuration of heterostructure and the corresponding band structures are obtained and the guide modes are analyzed. Furthermore, the influences of longitudinal sideslipping and transverse displacement of lattices on the band gap structures are discussed. It may provide a new configuration to generate guide modes. The achieved results show that the guide modes can exist in this heterostructure without any shift of lattices, and guide modes are highly sensitive to transverse shift, while sideslipping affects guide modes only slightly.