A control device for an electric vehicle including an electric motor, and an automatic transmission including a frictional engagement element disposed in a power transmitting system between the electric motor and a driving wheel, and arranged to connect and disconnect a power, the control device comprising: a motor control means configured to generate a creep torque in the electric motor when a creep torque generation condition is satisfied, and to cut the creep torque when a creep cut condition is satisfied even when the creep torque generation condition is satisfied; a range selection means configured to select a shift range of the automatic transmission; and an automatic transmission control means configured to bring the frictional engagement element to an engagement state when a traveling range is selected in the range selection means, and to bring the frictional engagement element to a disengagement state when a non-traveling range is selected in the range selection means, the creep torque generation condition being a condition in which the shift range is the traveling range and an accelerator pedal is not operated, the creep cut condition being a condition in which the vehicle is stopped and a brake sensor outputs a brake operation detection signal, and when the shift range is switched from the traveling range to the non-traveling range in a specific state where the electric vehicle is in a stop state and the creep torque is generated in the electric motor, the motor control means being configured to perform a torque decrease control to stepwisely decrease the creep torque of the electric motor, and the automatic transmission control means being configured to perform a disengagement control to gently disengage the frictional engagement element. a motor control means configured to generate a creep torque in the electric motor when a creep torque generation condition is satisfied, and to cut the creep torque when a creep cut condition is satisfied even when the creep torque generation condition is satisfied; a range selection means configured to select a shift range of the automatic transmission; and an automatic transmission control means configured to bring the frictional engagement element to an engagement state when a traveling range is selected in the range selection means, and to bring the frictional engagement element to a disengagement state when a non-traveling range is selected in the range selection means, the creep torque generation condition being a condition in which the shift range is the traveling range and an accelerator pedal is not operated, the creep cut condition being a condition in which the vehicle is stopped and a brake sensor outputs a brake operation detection signal, and when the shift range is switched from the traveling range to the non-traveling range in a specific state where the electric vehicle is in a stop state and the creep torque is generated in the electric motor, the motor control means being configured to perform a torque decrease control to stepwisely decrease the creep torque of the electric motor, and the automatic transmission control means being configured to perform a disengagement control to gently disengage the frictional engagement element.