Iterative learning control (ILC) is a simple and effective method for the control of systems that perform same task repetitively. In this paper, a current cycle error assisted ILC scheme for a class of discrete nonlinear time-varying systems is presented. Under a few reasonable assumptions, sufficient conditions for guaranteeing the convergence of the learning scheme are given and then proved by an inductive method. It is shown that the conditions are independent of the specific form of the state space model. Finally, some simulation results are given to illustrate the new control strategy.