Three-dimensional (3D) bioprinting, an extension of additive manufacturing, integrates digital design with biomaterials and living cells to create functional biological structures for biomedical research and clinical applications. This chapter introduces the foundations of 3D and four-dimensional bioprinting, highlighting the role of smart, stimuli-responsive materials such as shape-memory polymers and hydrogels in enabling dynamic, adaptive tissue constructs. Emerging advances in multi-material and multi-cell bioprinting are discussed, with emphasis on the development of tailored bioinks and strategies for vascularization and tissue complexity. The integration of artificial intelligence and machine learning is also examined as a means of optimizing printing parameters, predicting cell behavior, and accelerating tissue maturation. Future directions address the potential of personalized, patient-specific bioprinting, the creation of in vitro models for drug discovery, and progress toward fully functional organ printing. Ethical and regulatory considerations are reviewed alongside current commercial applications of 3D-printed materials. Together, these developments illustrate the transformative potential of bioprinting to advance regenerative medicine and reshape healthcare.