Disclosed are an apparatus and a method for controlling driving of a vehicle. The apparatus includes a sensor that obtains information about an external environment of the vehicle, and a controller that calculates a target driving speed based on at least one of weather information, road surface information, or a minimum sensing distance detectable by the sensor, and sets a preset driving speed as the target driving speed. Accordingly, the driving of the vehicle is controlled by accurately reflecting external environment information and setting the target driving speed of the vehicle, so that it is possible to minimize user anxiety about the stability of autonomous driving and reduce the risk of an accident.