This paper analysed the trajectory control (TC) based on natural switching surface (NSS) in dual-active-bridge (DAB) DC-DC converter. Which improves the fast transition process when load changes from constant resistor (CR) to constant power (CP). In order to obtain the NSS based state trajectory, the state-space equation is derived mathematically based on the small-signal model of DAB converter. Under the TC, the DAB can both achieve the constant power load (CPL) stability and fast start-up stage simultaneously. Finally, the comparison of open-loop control, closed-loop with linear controller and TC are given to validate the effectiveness of the proposed strategy.