A single range, electrically variable transmission (EVT) is provided with a lockup clutch that reduces motor power requirements. When applied, the lockup clutch allows engine torque to be transmitted directly to the output without the necessity of a motor/generator supplying reaction torque. With the lockup clutch applied, the transmission operates with zero electro-mechanical power flow at a fixed mechanical ratio, thus mitigating the power peak which occurs through the motor/generators. Input-split, output-split, and compound-split transmissions are disclosed. A method of operating an EVT with a lockup clutch is also provided.