Abstract: A hybrid power transmission apparatus for a vehicle which changes and outputs torque of an engine and a first motor, includes an input shaft selectively input engine torque through an engine clutch, an output externally engages with a differential final reduction gear through an output gear to output shifted torque, a fixed shifting section including a plurality of external gear sets implementing an engine mode having multiple fixed shifting stages, and a mode shifting section including a planetary gear set having a first rotation element fixedly connected to the input shaft and a third rotation element that is externally gear-engaged with a first motor gear of the first motor via a first gear, and one external gear set configured for power connection between a second rotation element of the planetary gear set and the output shaft.