A dual-band Sixth Generation (6G) antenna designed for Internet of Vehicle Communication in the FR3 band has been proposed. This work focuses on the miniaturization of the antenna for dual resonance and gain enhancement. An L-profile structure is designed with a partial ground plane of 30 × 30 × 1.6 mm using Rogers RT5880. Initially, the antenna structure is etched at the center, and an L-profile stub is entrenched at the middle of the antenna to achieve the X-band. Additionally, one more L-shaped strip is added on the adjacent portion of the antenna to attain the Ku band. The stubs are used to tune the operating frequencies of dual bands. The simulated result of the proposed antenna achieves a reflection parameter less than −10 dB for resonance frequencies corresponding to 9.9 GHz (X) and 14.14 GHz (Ku). These bands are identified as low-frequency FR3 in 6G vehicle-to-satellite applications. The antenna efficiency in the low band is 71%, and it is 80.23% at the high band. The antenna gain is 4.5 dBi at 9.9 GHz and 6.9 dBi at 14.14 GHz. Moreover, the 6G antenna structure is compact and easy to place in the vehicle.