In this study, we present the optical properties of a plasmonic nanoantenna array based on H-shaped gold nanoparticles with extended arms, which can be used for infrared detection applications. Plasmonic nanoantennas operating at the infrared and visible region provide a unique way to capture, control and manipulate light at the nanoscale through the excitation of collective electron oscillations known as surface plasmons. The unit cell of proposed antenna consists of one H-shaped nanostructure and two extended arms located on the lateral sides of this nanostructure. We will demonstrate the proposed antenna has a dual band spectral response and the locations of the resonance frequencies can be adjusted by changing the geometrical dimensions of both the H-shaped nanoparticles and the extended arms. Theoretical calculations of the reflectance spectra of the nanoantenna array are performed by using simulation software, which utilizes Finite Difference Time Domain (FDTD) method. In order to show the sensing capacity of the structure, the effect of the dielectric medium on the resonance frequency is also determined. The results show that the proposed antenna can be utilized for infrared sensing applications.