Abstract: The object of the invention is the method of producing rubber powder modified asphalt in a double screw extruding machine and the product of continuous asphalt modification. A method for producing rubber powder modified asphalt in a continuous process using a twin-screw extruder is characterised in that rubber powder and asphalt are batched into the twin-screw extruder with a cylinder temperature ranging from 60° C. to 400° C., where extruder screws are co-rotating or counter-rotating, with the co-rotating screws preferred. According to the invention, the product of continuous asphalt modification is asphalt in the amount of up to 99 wt %, rubber powder in the amount of 1 to 99 wt %, and additives in the amount of up to 80 wt %.