This paper presents a High Gain, enhanced Bandwidth Patch antenna for 5G operations. The dual-band is achieved using an inset-fed feeding technique for the microstrip patch antenna, which operates at the 28/38GHz millimeter-wave band. The high gain of the patch is achieved by inserting two rectangular slots on the radiating element of the patch. The designed antenna Bandwidth is improved by incorporating three steps at the edge of the rectangular patch. The substrate used for the format is Rogers RT Duroid 5880, with a thickness of 0.508mm, loss tangent of 0.0009, and a relative permittivity constant of 2.2. Ansys HFSS software is used for the simulation. The design attained a maximum gain of 8.2dB and 7.8dB at 27.84GHz and 39.32GHz. The impedance bandwidth response of 1.46 and 4.27GHz at the respective resonating frequencies below the -10dB line of the parameters are achieved. A compact antenna is proposed with a size of 3.2x4.9x0.508 and has a high Gain with a wide Bandwidth at both bands. The proposed antenna has achieved a good performance within the operating bands, making it suitable for 5G applications.