This invention relates to a control device for a hybrid vehicle power transmitting apparatus. A heat generation control is executed to increase a heat generation amount of an electric motor M1 when a differential portion 11 is placed in a non-differential state and a temperature of a shifting mechanism 10 is less than a given transmitting apparatus temperature determining value TEMP11. This allows the first electric motor M1 to develop a heat with which the temperature of a shifting mechanism 10 is promptly raised, thereby promptly completing a warm-up of the shifting mechanism 10 to achieve improved fuel consumption.