The invention discloses a construction method for reconstruction of an old cement pavement into an asphalt concrete pavement, the steps are as follows: 1, pouring seams of the to-be-reconstructed old cement pavement, 2, judging the damage degree of the to-be-reconstructed old cement pavement, and processing damages; 3, spraying hot rubber asphalt on the damage-processed pavement, spreading an aggregate on the hot rubber asphalt, and rolling to embed the spread aggregate into an asphalt film to form a stress absorption and seepage prevention rubber asphalt stress absorbing layer; 4, paving a grating net sheet on the rubber asphalt stress absorbing layer, and fixing; and, paving an asphalt concrete surface layer on the grating net sheet, wherein the asphalt concrete surface layer is paved in two times. The maintenance cost is greatly reduced, the highway overhaul time is greatly extended, the pavement service life is prolonged more than 1 time, and good economic and social benefits are received. In the rubber asphalt production process, tire waste is used, energy is saved, and the construction method is conducive to environmental protection.