Disclosed are a method of and an apparatus for producing a heated reproduction asphalt mixture, in which a new material and a normal-temperature waste material, the water content of which is set at a limited range of values, are adapted to be mixed together in the ratio of (90 to 40):(10 to 60) in terms of weight. The temperature of heating the new material by means of a dryer is controlled to range from 190.degree. C. to 350.degree. C. so as to be in conformity with the above mixing weight ratio. Both the materials are mixed and kneaded together in a mixer at a kneading temperature of 150.degree. C. or more. The gas generated within the mixer is exhausted toward a chimney in a state wherein the amount exhausted is made adjustable.