A system for controlling a boiler apparatus in a power plant to combust under optimized conditions, and a method for optimizing combustion of the boiler apparatus using the same are provided. The boiler control system may include a modeler configured to create a boiler combustion model, an optimizer configured to receive the boiler combustion model from the modeler and perform the combustion optimization operation for the boiler using the boiler combustion model to calculate an optimum control value, and an output controller configured to receive the optimum control value from the optimizer, and control an operation of the boiler by reflecting the optimum control value to a boiler control logic.