A new deadbeat predictive current control method is proposed according to the characteristics of three-level T-type inverter (3LT²I). Compared to the conventional deadbeat method, this method can fast track the current and reduce the THD of the output current. In order to solve the problem of the neutral-point potential (NP) unbalancing, the novel SPWM method is proposed to realize the NP balance. Based on the model of the 3LT²I, the time of the conventional symmetric SVPWM is changed by adding or subtracting the minimum dwell time based on the upper and lower capacitor voltage. Experiment results from a prototype inverter prove that both NP balance control and fast grid-connected current tracking can be realized using the novel deadbeat controller and SVPWM strategy.