Hydrogels are crucial materials in tissue engineering owing to their biocompatibility, tunable properties, and ability to mimic the extracellular matrix. Additive manufacturing, or 3D printing, revolutionizes tissue construct creation by precisely depositing biomaterials layer by layer. This requires adaptable hydrogels that can be fine-tuned for specific mechanical and biological needs. Tailoring the mechanical properties of hydrogels is crucial for their performance in tissue regeneration. By adjusting the cross-linking density and incorporating reinforcing agents, hydrogels can achieve the desired stiffness and elasticity to match different tissue types. Additionally, controlling the porosity and pore size distribution within hydrogels is essential for nutrient diffusion and cell proliferation, which are critical for tissue growth and repair. Various additive manufacturing techniques, including extrusion-based printing, inkjet bioprinting, and stereolithography, are employed to fabricate hydrogel-based constructs. Each method has its advantages and limitations, influencing the choice of hydrogel formulation and printing parameters. Hydrogel-based strategies for additive manufacturing hold immense potential in tissue regeneration. By precisely tailoring the properties of hydrogels, researchers can create customized, functional tissue constructs that address specific clinical needs. This synergy between advanced biomaterials and innovative manufacturing techniques heralds a new era in regenerative medicine, offering promising solutions for repairing and replacing damaged tissues.