A novel method is demonstrated to realize dynamical control of resonant response of terahertz metamaterials. The paper presents a type of structurally tunable terahertz meta-materials (SMM) which consists of double layer Split-ring Resonators (SRRs) with one flexible cantilever sitting along the gap. Based on the difference of expansion coefficient between the double materials (i.e. Al and SiO2), fine tuning of the cantilever angles can be conveniently adjusted by the temperature difference. By changing the radius of curvature of the cantilevers, we obtain a tunable terahertz band-stop filter with a wide tuning range about 0.32 THz. This tunable band-stop filter using deformation MMs shows its great potential in tunable metamaterials applications, such as sensors, switches, modulators and phase shifters.