Provided is a hybrid vehicle driving device including: a first differential mechanism configured to be connected to an engine and transmit a rotation of the engine; a second differential mechanism configured to connect the first differential mechanism and a driving wheel; and a switching device configured to shift the first differential mechanism, wherein the second differential mechanism includes a first rotation component connected to an output component of the first differential mechanism, a second rotation component connected to the first rotation machine, and a third rotation component connected to the second rotation machine and the driving wheel, and a reaction torque of the first rotation machine is corrected at a torque phase (S2-Y) after a start of the gear shift operation of the first differential mechanism by the switching device while the vehicle travels by using the engine as a power source (S3).