A method of controlling an electric parking brake of a vehicle includes calculating a desired braking force based on the vehicle condition at an instruction of applying a braking force, and starting a braking motor of the electric parking brake. The method further includes determining whether a braking force is increasing by measuring current applied to the braking motor, calculating a braking correction value based on the measured current when determined that a braking force is not increasing, calculating a load torque based on the braking correction value and the measured current when determined that a braking force is increasing, and stopping the braking motor when the load torque is greater than the desired braking force.