Braking apparatus of vehicle and control method thereof

A braking apparatus of a vehicle including: a brake pedal position detector configured to detect a position of a brake pedal; a piston displacement detector configured to detect a displacement of a piston installed in a main master cylinder; a rear wheel circuit pressure detector configured to detect pressure supplied to a rear wheel circuit; a front wheel circuit pressure detector configured to detect pressure supplied to a front wheel circuit; a motor driver configured to drive a motor to move the piston; and a controller configured to receive the position of the brake pedal, the displacement of the piston, rear wheel circuit pressure and front wheel circuit pressure, determine a fail of a circuit isolation valve, and perform fail safe driving by operating the motor driver and a normal operating valve to supply pressure to only one of the rear wheel circuit and the front wheel circuit.