The invention discloses a special asphalt mixture capable of inhibiting flying of drainage asphalt pavement stones and a preparation method of the mixture. The special asphalt mixture capable of inhibiting the flying of the drainage asphalt pavement stones comprises aggregate, filler, high viscosity modified asphalt and an external additive, wherein the aggregate comprises basalt, diabase and / or limestone; the filler is limestone mineral powder; the high viscosity modified asphalt is made from SBS (styrene butadiene styrene), No.70 petroleum asphalt and a stabilizer through stirring and high shearing at high temperature; the external additive is a plurality of fine metal filaments. The preparation method of the special asphalt mixture comprises the following steps: adding the fine metal filaments into the aggregate, mixing, spraying the high viscosity modified asphalt and the filler at the same time, and continuously mixing, so that the special asphalt mixture is formed. The special asphalt mixture disclosed by the invention has the advantages that the fine metal filaments are creatively added, the problem of flying of stones is effectively inhibited, void ratio is reduced as a skeleton space is filled or blocked, and drainage and noise reduction functions of the drainage asphalt pavement can not be influenced.