Disclosed are an apparatus for estimating a bounce speed of a vehicle and a method thereof. The apparatus includes an acceleration sensor that detects an acceleration of the vehicle, a front wheel speed sensor that detects a wheel speed of a front wheel of the vehicle, a rear wheel speed sensor that detects a wheel speed of a rear wheel of the vehicle, and a controller. The controller determines a wheel acceleration of the front wheel based on the wheel speed of the front wheel, determines a wheel acceleration of the rear wheel based on the wheel speed of the rear wheel, and estimates the bounce speed of the vehicle. The bounce speed of the vehicle is estimated based on the acceleration of the vehicle, the wheel acceleration of the front wheel, and the wheel acceleration of the rear wheel.