A vehicular power transmission control apparatus comprising: a multiple gear ratio transmission including an input shaft to which power is inputted from an output shaft of the internal combustion engine, and an output shaft from which the power is outputted to a drive wheel of the vehicle, and includes predetermined plural gear positions, each of which has a different speed reducing ratio that is a ratio of a revolution speed (Ni) of the input shaft to a revolution speed (No) of the output shaft; a clutch (C/T) that is mounted between the output shaft of the internal combustion engine and the input shaft of the multiple gear ratio transmission (T/M), and that can adjust a clutch torque (Tc), which is the maximum torque that the clutch (C/T) can transmit; and a control unit (ECU, ACT1, ACT2) that controls the clutch torque of the clutch and the gear position of the multiple gear ratio transmission based upon a driving condition of the vehicle, wherein the control unit (ECU, ACT1, ACT2) controls the clutch torque (Tc) of the clutch (C/T) in order that the revolution speed (Ni) of the input shaft of the multiple gear ratio transmission (T/M) becomes smaller than the revolution speed of the output shaft of the internal combustion engine by a predetermined positive value, so as to control the clutch (C/T) in a semi-engagement state with a slip, when the vehicle drives with the state in which the gear position of the multiple gear ratio transmission (T/M) is set to a specific gear position at a lower speed range, which is some gear positions of the plural gear positions, and which is one or more gear positions at the lower speed range including the gear position having the greatest speed reducing ratio, during the transmission being set to the specific gear position at the lower speed range, when a difference in revolution speed, which difference is obtained by subtracting the revolution speed of the input shaft of the transmission from the revolution speed of the output shaft of the internal combustion engine, is greater than the predetermined value, the clutch torque (Tc) is increased, whereas the clutch torque (Tc) is decreased, when the difference in revolution speed is less than the predetermined value while controls the clutch torque (Tc) of the clutch (T/C) in order that the revolution speed (Ni) of the input shaft of the multiple gear ratio transmission (T/M) agrees with the revolution speed of the output shaft of the internal combustion engine, so as to control the clutch (T/C) to be in a totally engagement state without a slip, when the vehicle drives with the state in which the gear position of the multiple gear ratio transmission (T/M) is set to a gear position at a higher speed, which is other than the specific gear position at the lower speed range, and which has the speed reducing ratio smaller than that of the specific gear position at the lower speed range characterized in that the clutch (C/T) is adjusted to be in the totally engagement state or in the semi-engagement state according to the selected gear portion. a multiple gear ratio transmission including an input shaft to which power is inputted from an output shaft of the internal combustion engine, and an output shaft from which the power is outputted to a drive wheel of the vehicle, and includes predetermined plural gear positions, each of which has a different speed reducing ratio that is a ratio of a revolution speed (Ni) of the input shaft to a revolution speed (No) of the output shaft; a clutch (C/T) that is mounted between the output shaft of the internal combustion engine and the input shaft of the multiple gear ratio transmission (T/M), and that can adjust a clutch torque (Tc), which is the maximum torque that the clutch (C/T) can transmit; and a control unit (ECU, ACT1, ACT2) that controls the clutch torque of the clutch and the gear position of the multiple gear ratio transmission based upon a driving condition of the vehicle,