Disclosed herein are a vehicle control apparatus and a vehicle control method thereof. The vehicle control apparatus includes an input unit to receive first current heat energy calculation information, receive second current heat energy calculation information, and receive a current degree of slope; an estimator to estimate a current temperature of the brake apparatus on the basis of information regarding the difference between the first current heat energy calculation information and the second current heat energy calculation information; a compensator to compensate for braking power between the brake apparatus and the brake friction material; and a controller to receive the first current heat energy calculation information, the second current heat energy calculation information, and the current degree of slope, transmit an estimation command to the estimator, and transmit a compensation command to the compensator.