Aluminum hydride （AlH₃） is a new energetic material with higher energy density than aluminum. A large amount of hydrogen produced in the combustion of AlH₃， which significantly reduced the average molecular weight of gas products. AlH₃ can be used as an energetic component of explosives. However， the crystal transformation process of AlH₃ is extremely dangerous and the unstable impurity phase is difficult to separate， thus it is challenge to obtain the pure stable phase α-AlH₃. The preparation of AlH₃ complexes can avoid the danger of crystal transformation of AlH₃， AlH₃ complexes retain the structural unit of AlH₃， avoid the dangerous crystal transformation process， and can be purified by recrystallization， which has a broad application prospect. This paper reviews the synthesis methods， coordination modes， types and applications of AlH₃ complexes， and focuses on the effects of different ligands， such as tertiary amine， tertiary phosphine， ether and carbene， and different coordination structures on the thermochemical properties of AlH₃ complexes. The future research direction of AlH₃ complexes is clarified.