A control apparatus of a multi-range automatic transmission having a frictional engagement element that is engaged in both of a first gear shift stage (m th speed) and a second gear shift stage (n th speed), a torque share ratio of the frictional engagement element in the second gear shift stage (n th speed) being greater than a torque share ratio of the frictional engagement element in the first gear shift stage (m th speed), the multi-range automatic transmission being capable of selecting a plurality of target gear shift stages including the first and second gear shift stages (m th and n th speeds) by selectively engaging a plurality of frictional engagement elements including the frictional engagement element, the control apparatus comprising: a slip state judging unit that judges whether or not the frictional engagement element is in a slip state; and the control apparatus being characterised by further comprising: an input torque upper limit value setting unit (22, 23) that sets an upper limit value of an input torque inputted to the multi-range automatic transmission, and the input torque upper limit value setting unit (22, 23) setting, as a decrease side input torque upper limit value, a value obtained by subtracting a first predetermined amount from the input torque upper limit value, when a gear shift to the second gear shift stage (n th speed) is completed and also the frictional engagement element is judged to be in the slip state by the slip state judging unit in a state in which the input torque is the input torque upper limit value, and the input torque upper limit value setting unit (22, 23) setting, as a new input torque upper limit value, a value obtained by adding a second predetermined amount to the decrease side input torque upper limit value, when a next gear shift to the second gear shift stage (n th speed) is completed with the decrease side input torque upper limit value set and also the frictional engagement element is not judged to be in the slip state by the slip state judging unit in a state in which the input torque is the decrease side input torque upper limit value. a slip state judging unit that judges whether or not the frictional engagement element is in a slip state; and the control apparatus being characterised by further comprising: an input torque upper limit value setting unit (22, 23) that sets an upper limit value of an input torque inputted to the multi-range automatic transmission, and the input torque upper limit value setting unit (22, 23) setting, as a decrease side input torque upper limit value, a value obtained by subtracting a first predetermined amount from the input torque upper limit value, when a gear shift to the second gear shift stage (n th speed) is completed and also the frictional engagement element is judged to be in the slip state by the slip state judging unit in a state in which the input torque is the input torque upper limit value, and the input torque upper limit value setting unit (22, 23) setting, as a new input torque upper limit value, a value obtained by adding a second predetermined amount to the decrease side input torque upper limit value, when a next gear shift to the second gear shift stage (n th speed) is completed with the decrease side input torque upper limit value set and also the frictional engagement element is not judged to be in the slip state by the slip state judging unit in a state in which the input torque is the decrease side input torque upper limit value.