The THz array antenna is necessary for many applications such as the 6G satellite communication for the next generation of cell phone services. In this type of antenna increasing the bandwidth and harmonic rejection is vital. In this paper, a novel substrate integrated waveguide (SIW) Quasi Yagi–Uda antenna is suggested with a high Q-factor of 573 for 0.482 THz, and the photonic band-gap structure is also added for amending the antenna Q-factor and reduces the side-lobe level. Basic studies show the effect of SIW formation and PBG on the Q-factor and gain of this antenna. However, arraying and adding a power divider can impact the antenna return loss and increasing the harmonic or resonance in other frequencies which is not interesting in real antennas. Therefore, a THz filter based on the graphene load is added between the power divider and the array antenna to reduce the return loss in harmonic and increasing the bandwidth of the antenna to 15.2 % and the total gain of the antenna is 9.07 dB with a directive pattern and side-lobe level of −5 dB. As a result, the graphene load in the power dividers can be used for omitting unwilling harmonic in the array structure.