The band structure and photonic spectrum of one dimensional Thue-Morse quasicrystal composed by negative-index materials and positive-index materials are studied. We show that a new type of the omnidirectional reflection band (ORB) exists in Thue-Morse photonic heterostructures. Compared to a single Thue-Morse quasicrystal, the frequency range of the ORB in a Thue-Morse photonic heterostructure can be notably enlarged, and the width and location of the ORB do not change with Thue-Morse order. The lower edge of the ORB depends only on transverse electric (TE) polarization, while the higher edge of the ORB depends only on transversemagnetic (TM) polarization. These results imply potential applications in improving planar microcavities, optical fibers, and Fabry–Perot resonators, etc.