We demonstrate that the transmission properties of terahertz metamaterials based on split-ring resonators (SRR) is significantly dependent upon the incident wave polarization. Structures with different rotation symmetry are patterned on intrinsic gallium arsenide (GaAs), and examined in our work with finite element method. The EM responses of proposed structures under different polarization incidence THz wave are simulated. The simulation results demonstrate that the polarization-sensitive characteristic is determined by the rotation symmetry of the SRR - metamaterials units. Our work can be a guide for the design of novel metamaterials modulator and other polarimetric THz devices.