This article investigates the adaptive fuzzy tracking control problem for a class of strict-feedback nonlinear systems with time-varying input delay and full state constraints. By using state vector transformation and barrier Lyapunov function techniques, the effect of time-varying input delay and full state constraints are compensated. The unknown nonlinear functions are approximated by utilizing fuzzy logic systems, and then a novel adaptive fuzzy backstepping control strategy is proposed to guarantee that the closed-loop nonlinear system is semiglobally ultimately uniformly bounded. Finally, two simulation examples of an inverted pendulum system and three-degrees-of-freedom helicopter nonlinear system are studied to verify the effectiveness of the proposed control strategy.