A control device for hybrid vehicle drive apparatus has a differential mechanism operative to perform a differential action and an electric motor. The control device prevents a second electric motor from reaching a high-speed rotation with a likelihood of degradation occurring in durability of the second electric motor when a “D” position is switched into an “N” position during a running of a vehicle. When a shift lever (49) is shifted into the “N” position during the vehicle running to interrupt a power transmitting path of an automatic shifting portion (20), a differential action of a power distributing mechanism (16) is limited. A limited differential action suppresses increases in rotation speeds of rotary members such as a clutch or a brake of the automatic shifting portion (20), a second electric motor (M2) and a differential-portion planetary gear (P0) or the like. Thus, degradation in durability of such rotary members due to high-speed rotations thereof can be minimized.