A power transmission device for a hybrid vehicle with a first clutch (1a) and a second clutch (1b). The first clutch (1a) is capable of transmitting or cutting off driving power of an engine (E) to driving wheels (D). The second clutch (1b) is capable of transmitting or cutting off power of a motor (M) to the driving wheels (D). The power transmission device is capable of appropriately operating the first clutch (1a) and the second clutch (1b) in accordance with driving conditions of the vehicle. When the engine (E) is started by transmitting power from the motor (M) to the engine (E), via the first clutch (1a) and the second clutch (1b), the power transmission device slip-controls the first clutch (1a) and the second clutch (1b).