The present invention discloses a brewing apparatus with air suction for cold extraction and a brewing method thereof, the apparatus adopts a air suction device to suck air out of a pot body and achieves a subatmospheric environment, by adopting the subatmospheric environment together with the cold water, it is able to extract a plurality of brewing ingredients effectively, and be able to shorten an extraction period while improving an extraction efficiency, which is favorable for a popularization of cold extraction beverage, and the brewing apparatus with air suction for the cold extraction is convenient to use, having a low manufacturing cost. The apparatus is able to prepare a cold-extraction beverage ready just after a simple operation, thus having a good economic efficiency and practicality.