Disclosed herein are an electro-hydraulic brake and a control method thereof which provide hydraulic braking force to transfer a stable pedal feel and provide regenerative braking to improve fuel efficiency. The electro-hydraulic brake includes a master cylinder, a housing including a booster chamber and a base chamber, an oil reservoir, a hydraulic control unit connected to the oil reservoir, a simulation unit, and a pedal displacement sensor. The hydraulic control unit includes an accumulator, a pump to absorb oil from the oil reservoir and to discharge the oil to the accumulator, a motor to drive the pump, a normal cut valve, a simulation control valve, two control valves to control the pressure in the booster chamber, pressure sensors to sense the pressures in the base chamber, the accumulator and the booster chamber, and a controller to control the motor and the valves based on pressure information and pedal displacement information.