A metamaterial band-stop filter in the Terahertz(THz) spectrum regime based on the semiconductor InSb is presented in this paper. The resonant frequency of the filter is thermally tunable due to the dielectric constant properties of InSb. Meanwhile, the effects of geometrical parameters on the performance of the filter were analyzed by the finite-integral method and equivalent LMC circuit method, respectively. The results of the two methods show good agreement with each other. The resonant frequency can be dynamically tuned across a wide band of frequencies from 0.91 to 1.28 THz in the temperature range from 220 K to 350 K, and the transmission coefficient at the resonant frequency in the stopband can be effectively suppressed. Good incidence-angle stability of the transmission characteristics up to an oblique incidence angle of 30° is demonstrated. The tunable metamaterial band-stop filter has the potential to be applied in the Terahertz wireless communication and sensing systems.