In this paper, an omnidirectional photonic band gap (OBG) which originates from Bragg gap compared to zero-n˜ gap or single negative (negative permittivity or negative permeability) gap, is realized by one-dimensional (1D) superconductor-dielectric photonic crystals (SDPCs) with ternary Thue–Mores aperiodic structure, which is composed of superconductor and two kinds of homogeneous, isotropic dielectric is theoretically investigated by the transfer matrix method (TMM) in detail. Such OBG is insensitive to the incident angle and the polarization of electromagnetic wave (EM wave). From the numerical results, the bandwidth and central frequency of OBG can be notably enlarged by tuning the thickness of superconductor and dielectric layers but cease to change with increasing Thue–Mores order. The OBG also can be manipulated by the ambient temperature of system especially close to the critical temperature. Moreover, the damping coefficient of superconductor has no effect on the bandwidth of OBG under low-temperature condition. These results may provide theoretical instructions to design the future optoelectronic devices based on superconductor.