The invention relates to a construction method for an asphalt road surface of a road. The method is suitable for ensuring the quality and the longer service life of the road, and includes steps as follows: a pneumatic tyred roller is adopted for the initial rolling, namely, the pneumatic tyred roller follows a spreading machine closely to roll for 2-3 times, and during the rolling process, the temperature of the road surface is 120-150 degree C; and then a steel wheel roller is adopted for the final rolling after the first rolling. In order to prevent the asphalt from sticking onto the tyres, the temperature of the road surface is kept above 100 degree C during adopting pneumatic tyred roller to finish the initial rolling. As the temperature of the road surface during the initial rolling is higher, and the kneading amplitude of the tyres is larger, therefore, the weight of the adopted pneumatic tyred roller can be reduced appropriately, and the rolling time is only required for 2-3 times, in this way, the design requirement of the compactness of the road surface can be satisfied. The temperature determines the rolling quality of the road surface, and meanwhile, the asphalt in the material easily forms thicker sealing oil film layer, so that water, slurry and air can be prevent form entering, prevention of water damage to the road surface can be facilitated, and the durability of the road surface can be improved.