Conventional optical absorbers based on metal and distributed Bragg reflector (DBR) structures require alteration to the device's geometric parameters to absorb light of different wavelengths, thus significantly limiting their application scenarios. Leveraging the tunable electrical conductivity of graphene, which can be modified by applying an external voltage, this study replaces conventional metals with graphene and proposes a composite structure combining two layers of graphene with a DBR. By performing finite-element analysis, the absorption characteristics of this structure in the terahertz band are investigated. The results show that at DBR periods of 6 and 15, triple optical Tamm-state absorption with rates of 91.4%, 88.3%, and 64.3% can be achieved. By adjusting the Fermi energy of graphene from 0.7 to 1.6 eV, the wavelength tuning range of the three absorption peaks can reach 0.2, 5.2, and 6.2 μm, respectively. When the Fermi levels of the two graphene layers are set to 0.8 and 1.2 eV, the absorption rates of the triple optical Tamm states enhances to 98.8%, 85.6%, and 87.2%. The findings of this study provide an effective design idea for absorbers using optical Tamm states for light absorption.