In this paper, a polarimetric selective tunable dual-band terahertz absorber is designed, which consists of a square split graphene ring, a SiO2 dielectric layer and a metal reflector. The absorbers can produce double absorption peaks under different polarization incidence. The absorptivities at 7.86THz and 12.63THz under x-polarization wave are 97.9% and 91.2%. The absorption rates at 6.30 THz and 10.52 THz under y-polarized waves are 94.1% and 93.2%. In addition, the effects of the Fermi level of graphene, the thickness of the dielectric layer and the physical size of the graphene pattern on the absorptivity are discussed. By changing the Fermi level of graphene, it is possible to tune the wavelength of dual-band resonance absorption peaks in different polarization states, because double-band high absorption peaks can be generated in both polarization states, so this study may provide reference value for terahertz polarization imaging, terahertz sensing, selective spectral detection and polarization multiplexing. In this paper, a polarimetric selective tunable dual-band terahertz absorber is designed, which consists of a square split graphene ring, a SiO2 dielectric layer and a metal reflector. The absorbers can produce double absorption peaks under different polarization incidence. The absorptivities at 7.86THz and 12.63THz under x-polarization wave are 97.9% and 91.2%. The absorption rates at 6.30 THz and 10.52 THz under y-polarized waves are 94.1% and 93.2%. In addition, the effects of the Fermi level of graphene, the thickness of the dielectric layer and the physical size of the graphene pattern on the absorptivity are discussed. By changing the Fermi level of graphene, it is possible to tune the wavelength of dual-band resonance absorption peaks in different polarization states, because double-band high absorption peaks can be generated in both polarization states, so this study may provide reference value for terahertz polarization imaging, terahertz sensing, selective spectral detection and polarization multiplexing.