An apparatus for controlling a lane change of a vehicle, the apparatus comprising: a sensor configured to sense an external vehicle (300, 400); an input device configured to receive a lane change command from a driver of the vehicle; and a control circuit configured to be electrically connected with the sensor and the input device, wherein the control circuit is configured to: receive the lane change command using the input device; calculate a minimum operation speed of the vehicle for a lane change control; determine whether to accelerate the vehicle based on a speed of a preceding vehicle traveling on the same lane as the vehicle, when a driving speed of the vehicle is lower than the minimum operation speed; and activate lane change control only when the driving speed of the vehicle is greater than or equal to the minimum operation speed, characterized in that the control circuit is configured to: when a following vehicle traveling on a target lane corresponding to the lane change command is not sensed by the sensor, set a distance between the vehicle and the following vehicle to a maximum distance sensible by the sensor and a speed of following vehicle to a maximum legal speed of a country where the vehicle is traveling, and calculate the minimum operation speed based on the distance and the speed set by the control circuit. a sensor configured to sense an external vehicle (300, 400); an input device configured to receive a lane change command from a driver of the vehicle; and a control circuit configured to be electrically connected with the sensor and the input device, wherein the control circuit is configured to: receive the lane change command using the input device; calculate a minimum operation speed of the vehicle for a lane change control; determine whether to accelerate the vehicle based on a speed of a preceding vehicle traveling on the same lane as the vehicle, when a driving speed of the vehicle is lower than the minimum operation speed; and receive the lane change command using the input device; calculate a minimum operation speed of the vehicle for a lane change control; determine whether to accelerate the vehicle based on a speed of a preceding vehicle traveling on the same lane as the vehicle, when a driving speed of the vehicle is lower than the minimum operation speed; and activate lane change control only when the driving speed of the vehicle is greater than or equal to the minimum operation speed, characterized in that the control circuit is configured to: when a following vehicle traveling on a target lane corresponding to the lane change command is not sensed by the sensor, set a distance between the vehicle and the following vehicle to a maximum distance sensible by the sensor and a speed of following vehicle to a maximum legal speed of a country where the vehicle is traveling, and calculate the minimum operation speed based on the distance and the speed set by the control circuit. when a following vehicle traveling on a target lane corresponding to the lane change command is not sensed by the sensor, set a distance between the vehicle and the following vehicle to a maximum distance sensible by the sensor and a speed of following vehicle to a maximum legal speed of a country where the vehicle is traveling, and calculate the minimum operation speed based on the distance and the speed set by the control circuit.