Due to the rapid development of electric vehicles (EVs), the design and implementation of off-board chargers with reliable and cost-effective charging solutions are essential. The typical two-stage off-board charger requires four voltage sensors and three current sensors for the AC-DC power conversion stage. This inevitably increases the charging infrastructure cost and results in significant off-board charger performance degradation and operational reliability in the event of sensor failures. To address these challenges, this paper proposes a grid voltage sensorless predictive power control (PPC) for an off-board charger with adaptive inductance estimation. In this approach, the philosophy of instantaneous power theory and the predictive approach are utilized to estimate the grid voltages. In addition, adaptive grid inductance estimation is formulated to improve the robustness of the off-board charger. The simulation and experimental studies are presented to verify the feasibility of the proposed sensorless PPC approach for an off-board charger.