Heart valve disease, a major concern worldwide, is treated with the aid of mechanical or bioprosthetic heart valves. Mechanical heart valves are durable and have a longer life span, and patients require anticoagulation medicines to avoid blood clotting. On the other hand, bioprosthetic heart valves have a shorter life span (10–20 years), where patients do not require anticoagulation medicines. 3D-printed synthetic valves can help overcome these problems. The four valves in the heart are the aortic, pulmonary, tricuspid, and mitral valves. This review focuses on the tricuspid valve, which has three leaflets: anterior, posterior, and septal, that allow blood to pass from the right atrium to the right ventricle while preventing it from flowing backwards. Tissue-engineered heart valves (TEHV) are fabricated using hydrogels that act as a scaffold and help in active extracellular matrix (ECM) remodelling for proper valve functioning. Natural hydrogels provide good biocompatibility but have poor mechanical properties. In contrast, synthetic hydrogels can be tuned to achieve desirable mechanical properties. This study aims to apply hydrogels for heart valve tissue engineering by considering its dimensions, design criteria, materials and methods used for fabricating tissue-engineered heart valves, mechanical properties (fatigue behaviour), testing for cell culture, and future directions.