A hybrid transmission for a vehicle may include an input shaft configured to receive a power of an engine transferred thereto, an input clutch configured to connect the input shaft to the engine or to intercept connection of the input shaft to the engine, a motor directly connected to the input shaft, a first output shaft and a second output shaft provided with a plurality of driven gears that are tooth-engaged with a plurality of drive gears installed on the input shaft to form a plurality of gear shift stages, and a power control device provided to switch the power of the engine that is transferred to the first output shaft or the second output shaft.