This study considers the current tracking control of the LCL-type grid-connected inverters by using a fully actuated system (FAS) approach. To tackle this problem, a FAS approach-based predictive proportional-integral (PI) control is constructed with simple design and better performance. Firstly, an equivalent transformation is presented to convert the model of the LCL-type grid-connected inverters and its general form into the input-delay FASs, so that the proposed work can be regarded as the tracking control of the input-delay FASs. Secondly, a predictive PI control is developed by means of the FAS approach to realize the desired tracking control for eliminating the original nonlinearities and compensating for the input delays. Then, a sufficient criterion is proposed for the bounded stability and tracking performance of the closed-loop systems. Finally, a compared simulation is shown to demonstrate the feasibility.