The invention relates to a durable drainage asphalt pavement anti-scattering material and its construction method. The durable drainage asphalt pavement anti-scattering material comprises, by weight,1 part of an aqueous polymer emulsion, 20-50 parts of modified emulsified asphalt, 1-3 parts of water and 0-15 parts of fine sand. In 48h after the construction of the newly-built drainage asphalt pavement, the anti-scattering material is scattered and is cured for at least 12h. The anti-scattering material is prepared and scattered at the normal temperature and a scattering amount is 0.2 to 0.6kg/m<2>, and preferably, the anti-scattering material is uniformly scattered on the surface of the newly-built drainage asphalt pavement through an intelligent distributor or a small distributor. The durable drainage asphalt pavement anti-scattering material does not influence road surface anti-sliding performances and drainage functions, repairs the asphalt film damaged by a road roller or other heavy machinery in the construction, increases road surface asphalt film thickness, improves the anti-scattering capability of the drainage asphalt pavement and realizes local or whole enhancement of the drainage asphalt pavement.