A newly designed torsion pendulum operating at high pressures and various temperatures has been constructed. The High Pressure Torsion Pendulum(HPTP) is capable of containing gaseous pressure to 690MPa(100, 000psi) and operating at temperatures from-$100^{circ}C$ to $300^{circ}C$. A glass fiber braid is installed between two sample holders to accommodateliquid samples. The HPTP was fully automated and computerized using an IBM-AT personal computer to control initiation of oscillation, collect digitized data, and calculate the shear and loss moduli from damped curves, The curing process of an epoxyamine(DGEBA-DDS) system under various pressures up to 124 MPa(18, 000 psi) at $150^{circ}C$has been successfully carried out and some results are presented.