A controller for a vehicle, the vehicle including: a continuously variable transmission mechanism, a transmission mechanism, the continuously variable transmission mechanism and the transmission mechanism being provided in parallel with each other between an input member to which torque is transmitted from a driving force source and an output member that outputs torque to a drive wheel, a friction engagement mechanism (C1, B) that transmits torque from the input member to the transmission mechanism, an intermeshing engagement mechanism arranged on a downstream side of the friction engagement mechanism (C1, B) in a direction in which torque is transmitted from the input member toward the output member, the intermeshing engagement mechanism setting the transmission mechanism to a state where torque is transmitted between the input member and the output member, and a shift mechanism for selecting between a neutral state where torque output from the driving force source is not transmitted to the drive wheel and a drive state where a predetermined speed ratio is set, the controller characterized in that it includes: an electronic control unit configured to: (a) in changing from a state where both the friction engagement mechanism (C1, B) and the intermeshing engagement mechanism are released and the transmission mechanism is not able to transmit torque to a state where the intermeshing engagement mechanism is engaged and the transmission mechanism transmits torque to the output member, start engaging the intermeshing engagement mechanism after a torque capacity of the friction engagement mechanism (C1, B) is increased to a torque capacity that rotates the transmission mechanism; and (b) carry out an increase in the torque capacity of the friction engagement mechanism (C1, B) by increasing the torque capacity of the friction engagement mechanism (C1, B) for establishing the drive state as a result of selection of the drive state by the shift mechanism. a continuously variable transmission mechanism, a transmission mechanism, the continuously variable transmission mechanism and the transmission mechanism being provided in parallel with each other between an input member to which torque is transmitted from a driving force source and an output member that outputs torque to a drive wheel, a friction engagement mechanism (C1, B) that transmits torque from the input member to the transmission mechanism, an intermeshing engagement mechanism arranged on a downstream side of the friction engagement mechanism (C1, B) in a direction in which torque is transmitted from the input member toward the output member, the intermeshing engagement mechanism setting the transmission mechanism to a state where torque is transmitted between the input member and the output member, and a shift mechanism for selecting between a neutral state where torque output from the driving force source is not transmitted to the drive wheel and a drive state where a predetermined speed ratio is set, the controller characterized in that it includes: an electronic control unit configured to: (a) in changing from a state where both the friction engagement mechanism (C1, B) and the intermeshing engagement mechanism are released and the transmission mechanism is not able to transmit torque to a state where the intermeshing engagement mechanism is engaged and the transmission mechanism transmits torque to the output member, start engaging the intermeshing engagement mechanism after a torque capacity of the friction engagement mechanism (C1, B) is increased to a torque capacity that rotates the transmission mechanism; and (b) carry out an increase in the torque capacity of the friction engagement mechanism (C1, B) by increasing the torque capacity of the friction engagement mechanism (C1, B) for establishing the drive state as a result of selection of the drive state by the shift mechanism. an electronic control unit configured to: (a) in changing from a state where both the friction engagement mechanism (C1, B) and the intermeshing engagement mechanism are released and the transmission mechanism is not able to transmit torque to a state where the intermeshing engagement mechanism is engaged and the transmission mechanism transmits torque to the output member, start engaging the intermeshing engagement mechanism after a torque capacity of the friction engagement mechanism (C1, B) is increased to a torque capacity that rotates the transmission mechanism; and (b) carry out an increase in the torque capacity of the friction engagement mechanism (C1, B) by increasing the torque capacity of the friction engagement mechanism (C1, B) for establishing the drive state as a result of selection of the drive state by the shift mechanism. (a) in changing from a state where both the friction engagement mechanism (C1, B) and the intermeshing engagement mechanism are released and the transmission mechanism is not able to transmit torque to a state where the intermeshing engagement mechanism is engaged and the transmission mechanism transmits torque to the output member, start engaging the intermeshing engagement mechanism after a torque capacity of the friction engagement mechanism (C1, B) is increased to a torque capacity that rotates the transmission mechanism; and (b) carry out an increase in the torque capacity of the friction engagement mechanism (C1, B) by increasing the torque capacity of the friction engagement mechanism (C1, B) for establishing the drive state as a result of selection of the drive state by the shift mechanism.