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A kind of novel highly birefringent terahertz (THz) fibers based on super-cell structure, which has the advantage of minimizing the structural distortion during fabrication is proposed. The dielectric material (such as polymer) with airholes and the surrounding air are used as the fiber core and the fiber cladding, respectively. Uniform airholes with the diameter that is much smaller than the operation wavelength are used to form the basic cell. Two typical highly birefringent THz fibers with cross sections of the diamond-shaped and the dumbbell-shaped cells are introduced and investigated, respectively. High birefringence up to the order of 0.01 is achieved, and the power distributions of the modal power and the relative absorption loss of the proposed THz fibers are also investigated. The proposal for the THz fibers based on super-cell structure indicates a method to achieve unique property as the THz fibers with complex cross section.