This study investigated the application of pressure on the superconducting properties of a thallium-based cuprate, namely Tl 2 Ba 2 Ca 2 Cu 3 O 9-δ (Tl-2223). The superconducting transition temperature (T c ) and the critical current density (J c ) were studied by applying~1 GPa of pressure. This hydrostatic pressure was applied in a piston-cylinder-cell (PCC), using Pb as a manometer and Daphne 7373 oil as the pressure transmitting medium. For estimating the J c , we used Bean's critical state formula on the magnetic hysteresis curves at 10 K and 20 K. Both the T c and J c improved with pressure. The J c values increased at both temperatures and the T c value increased by 4 K with a pressure of 0.8 GPa. These results clearly indicate that pressure is another tool to control properties of quantum materials.