A broadband absorber which was proposed by Thue–Morse structures containing graphene-based hyperbolic metamaterials (GHMM) is theoretically investigated. The Thue–Morse layer is composed of a lossy dielectric, conventional material layer, and GHMM. It is shown to absorb roughly 80% of all available electromagnetic waves at an 11 terahertz absorption bandwidth at normal angle incidence. The absorption bandwidth and absorptance is affected by incident angle, Fermi energy, and the thickness of dielectric. These findings can lead to the development of midinfrared photonic devices and have potential applications for designing broadband optoelectronic devices.