Concentrating on the hypersonic reentry guidance under multiple constraints, a full-state nominal trajectory tracking guidance scheme was proposed by applying the differential transformation approach to the optimal feedback control. In the period of the online closed-loop guidance scheme based on the recedinghorizon control, the nominal trajectory tracking problem was transformed into a state regulator problem of the associated linear time-varying system, and then into a two-point boundary value problem by utilizing the optimal control theory. The differential transformation approach was suggested for the optimal feedback control, avoiding the time-consuming and numerical instabilities of conventional methods. Numerical simulation results validate that the proposed guidance scheme is robust to state dispersions and model uncertainties, providing a reference for engineering design. 