A one-mode, input-split, parallel, hybrid transmission for a vehicle has an input shaft which receives power from the vehicle engine, and an output shaft which delivers power to drive the vehicle. First and second motor/generators are employed, as are energy storage units, such as batteries, for accepting power from, and supplying power to, the first and second motor/generators. A control unit regulates power flow between the energy storage units and the motor/generators as well as between the first and second motor/generators. A planetary gear set has an inner gear member and an outer gear member, each of which meshingly engage a plurality of planet gear members. The input shaft is operatively connected to one of the gear members in the planetary gear set, and the output shaft is operatively connected to one of the other of the gear members in the planetary gear set. The first motor/generator is operatively connected to the remaining gear member in the planetary gear set, and the second motor/generator is in continuous, operative connection with the output shaft.