In this paper, the cross bow-tie nano-antenna (CBNA) with dimensions around wavelength of incident light is designed and simulated, with an emphasis on absorption cross section, absorption and reflection coefficients, as well as the electric field enhancement, in the visible and near-infrared spectral regime. The optical properties of the proposed nano-antenna have been investigated in details based on its geometric parameters and material type (for patch, substrate and the medium surrounding the antenna). Then the array of unit cell of proposed CBNA has been performed. The spectral response of the nano-antenna can be adjusted by geometric parameters, which provides control over the spatial resonance position and electric field enhancement amplitude. The CBNA with due to symmetric shape along the antenna’s length and width, is less sensitive to incident light polarization. Since the polarization of incident light is not selective and this nano-structure can enhance the incident light in both directions x and y, so it will useful for optical energy harvesting. In order to determine the resonance properties of CBNA, computer simulation technology (CST) microwave studio(© 1998–2018 CST.), as a three-dimensional electromagnetic field solver based on finite integration technique (FIT), is used for simulations. Commercial software, FDTD (finite difference time domain) Solutions(© 2013–2017 Lumerical Inc.), available from Lumerical corporation, is also used to calculate the amount of absorption, reflection and transmission coefficients of the CBNA.