A finite time backstepping control strategy is proposed for a class of uncertain nonlinear systems with asymmetric time-varying output constraints and input delay. Firstly， a new nonlinear transformation function that transforms the constrained system into an unconstrained system is proposed to solve the asymmetric time-varying output constraint. Secondly， To deal with the “explosion of complexity” problem of backstepping control， a new finite-time filter is constructed， where the filter error is eliminated by an error compensation mechanism. Then the Pade approximation method and intermediate variable are applied to compensate for the influence of input delay on the control system. According to the Lyapunov theory， the finite-time stability of the closed-loop system is proved， and the output does not violate the constraint. Finally， the effectiveness of the new filter and finite-time control strategy is verified by the comparative simulation of the filter and the simulation of a manipulator system.