A new leaf-like metamaterial structure made up of copper material is analyzed and designed in this paper in the frequency range of 1–10 THz. The suggested metamaterial designed on an FR-4 substrate with a thickness of 0.35 μm having a geometrical dimension of 10 × 10 μm2. The NRW method is used for the calculation of permittivity (εr), permeability (μr) and refractive index (ηr) of the designed structure with the help of scattering parameters. Two resonance peaks for the transmission (S21) and reflection coefficient (S11) discovered in the simulations at frequencies of 2.46 THz, 7.83 THz, and 3.15 THz, 8.7 THz, respectively. The analysis of electric field and magnetic field distribution is also investigated in this paper. The effective medium ratio (EMR) for the proposed structure comes out to be 12.1 which specifies the compactness and homogeneity of the proposed metamaterial unit cell. As the proposed structure resonates in THz range, it can be employed in short-range wireless THz communication or ultrafast THz interconnects, as well as in non-destructive detection of hidden weapons.