Tuna, due to its high commercial value, especially in sashimi and sushi markets, is among the most prized fish species. However, tuna farming presents an extremely complex and challenging process due to numerous ecological, technological, and logistical obstacles. Currently, tuna farming heavily relies on the fattening of wild tuna, which increases pressure on natural resources, while new methods are being explored to enable sustainable production in controlled environments. This paper provides a comprehensive overview of the main market species of tuna and analyzes the state of their stocks worldwide. Special emphasis is placed on farming methods, with an analysis of their advantages and disadvantages. Issues such as broodstock spawning in captivity and high mortality rates of fry in hatcheries have been identified as key obstacles to further development. Additionally, the paper highlights the importance of collaboration between academia, industry, and government to achieve commercial sustainability in the sector. The closed-cycle bluefin tuna farming method is evaluated using SWOT analysis. The paper synthesizes the main challenges, emphasizing the critical role of strategic planning and technological innovations for further progress in this field, supporting the growing global demand for high-quality seafood while preserving wild tuna populations.