In this paper, a terminal sliding mode (TSM) controller is designed for boost converter with purpose of robustness and better response against circuit nonlinearities and disturbances. Instead of using the commonly used average model or switching model for current-mode controlled (CMC) boost converter, a novel energy storage function (ESF) model is proposed for TSM controller, which contains all of the nonlinear elements of inductor current and capacitor voltage and further converges the both to the zero, unlike the CMC control ignoring the transient control of capacitor voltage. By adopting TSM instead of the traditional linear sliding mode (LSM), the system can track the given output voltage with faster response due to its finite time convergence. Meanwhile, an exponential reaching law is designed for TSM controller to eliminate the unexpected chattering phenomenon. Simulation results with comparison of the traditional CMC LSM control can prove the better control performance of the proposed scheme.