Graphdiyne (GDY) science is a new and rapidly developing interdisciplinary field that touches on various areas of chemistry, physics, information science, material science, life science, environmental science, and so on. The rapid development of GDY science is part of the trend in development of carbon materials. GDY, with its unique structure and fascinating properties, has greatly promoted fundamental research toward practical applications of carbon materials. Many important applications, such as catalysis and energy conversion, have been reported. In particular, GDY has shown great potential for application in the field of catalysis. Scientists have precisely synthesized a series of GDY-based multiscale catalysts and applied them in various energy conversion and catalysis research, including ammonia synthesis, hydrogen production, CO 2 conversion, and chemical-to-electrical energy conversion. In this paper, we systematically review the advances in the precisely controlled synthesis of GDY and aggregated structures, and the latest progress with GDY in catalysis and energy conversion.