A control apparatus of an automatic transmission having an automatic speed change mechanism for changing a driving source speed of rotation and a clutch engaged at a start, a fluid transmission apparatus between the driving source and the automatic speed change mechanism, and a lock-up clutch for locking up the fluid transmission apparatus. The control apparatus includes a range unit that determines a shift range including a drive range, a vehicle stop unit that determines a stop of a vehicle, a start intended operation unit that detects an intended start vehicle operation, a clutch control unit that controls the clutch to be disengaged to place the automatic speed change mechanism in a neutral state while the shift range is determined to be the drive range and the vehicle is determined to be stopped, and performs engagement control of the clutch to control the start of the vehicle when the operation intended for starting the vehicle is detected, and a lock-up clutch control unit that controls the lock-up clutch to be engaged while the shift range is determined to be the drive range and the vehicle is determined to be stopped, and controls the lock-up clutch so that the lock-up clutch is at least engaged in a slip region in which a predetermined torque capacity is obtained, when the operation intended for starting the vehicle is detected.