Heavyweight airdrop of the transport aircraft is an advanced and sophisticated military technology, which has become a research hotspot in the academic field. The research status of the dynamic models and flight control approaches in heavyweight airdrop operations are reviewed in this paper.The advantages, disadvantages as well as the applicability of the integrated modeling method and the separated modeling method are analyzed. The application of such advanced control methods as linear control, dynamic inversion control, sliding mode variable structure control, Backstepping control and model reference adaptive control in the design of heavyweight airdrop controller are studied. The existing problems and challenges in the design of heavyweight airdrop controller are discussed, which is helpful for further research.