This document describes the design and simulation of a terahertz microstrip patch antenna for detecting the plastic explosive SEMTEX. The antenna is designed using FR4 as the substrate material with a thickness of 1.62 μm and dielectric constant of 4.4. Copper is used for the radiating patch and ground plane. Computer Simulation Technology (CST) Microwave Studio is used to simulate the antenna. The results show the antenna resonates at 4.32 THz with a return loss of -52.10 dB, gain of 5.88 dB, directivity of 5.75 dBi, and input impedance of 49.15 Ω, making it suitable for detecting SEMTEX.