InSb is an important semiconductor material in the field of optoelectronic devices due to its high electron and hole mobility, low effective mass, and low energy gap at room temperature. In this paper, a thermally controlled dual-band terahertz metamaterial absorber with a patterned InSb film is designed and studied. The unit cell of the proposed metamaterial is composed of combined InSb double rectangular ring resonators (DRRR) adhered on a continuous gold layer and substrate. Finite-difference-time-domain (FDTD) simulation results demonstrate that the absorption peak can reach 98.95 %, and 99.45 % at 1.499 THz and 1.592 THz when the external environment temperature is 283 K. Electric field distribution and parameter sweep indicate the two absorption peaks result from the near-field coupled linear superposition between the big square and small square resonators. The proposed absorber not only has the features of wide incident-angle stability, but also polarization insensitivity. Besides, the proposed absorber shows temperature-tunable features due to the temperature-dependent variation of the permittivity of InSb material. The InSb pattern proposed in this paper provides an alternative method for designing of dual parameters sensor in the terahertz band, the proposed dual-band absorber can function as a temperature sensor with sensitivities of about 8.6 GHz/K and 12.8 GHz/K, respectively. The proposed dual-band absorber can also be used as a refractive index sensor with sensitivities of about 1.065 THz /RIU, and 0.499 THz /RIU, respectively. Therefore, the present work provides an effective method for implementing thermally and refractive index sensors in the terahertz range.