Abstract: In this power transmission control device, an EV travel mode for traveling by using only an electric-motor driving torque in a state in which a clutch torque is maintained to zero, and an EG travel mode for traveling by using the internal-combustion-engine driving torque in a state in which the clutch torque is adjusted to a value larger than zero are selectively realized depending on a travel state. In a state in which the EV travel mode is selected, when it is determined that a vehicle speed is higher than a predetermined speed Vth, “a gear position to be realized” is changed depending on the travel state of the vehicle, and when it is determined that the vehicle speed is equal to or lower than the predetermined speed Vth, “the gear position to be realized” is maintained to a current gear position independently of the travel state of the vehicle.