The present invention provides a curve approach control apparatus comprising an allowable lateral acceleration setting unit to set as an allowable lateral acceleration a lateral acceleration that a vehicle can tolerate when it negotiates a curve in front; an allowable approach speed setting unit to set as an allowable approach speed an approach speed at which the vehicle can negotiate the curve, based on at least the allowable lateral acceleration; a decision control unit to estimate and judge an approach of the vehicle to the curve based on at least the allowable approach speed and execute a predetermined control; and a road surface friction coefficient estimation unit to estimate a road surface friction coefficient. The allowable lateral acceleration setting unit corrects, according to the road surface friction coefficient, an allowable percentage of the lateral acceleration that occurs in the vehicle as it negotiates the curve and sets the allowable lateral acceleration.