Method of paving latex modified concrete and roller paver adapting thereof

A method of paving a road with latex-mixed concrete and a flattening device for the same are provided to prevent evaporation of moisture on the paved road by spraying curing agent on concrete mixed with latex two times. A method of paving a road with latex-mixed concrete comprises a main body(110), a conveying body(130), screws(134), rollers(136), a flattening steel plate(138), and a curing agent spraying unit. The main body moves on rails installed in a road to be paved. The conveying body reciprocates to the right and left vertically to a progressing direction of the main body. The screw, the roller, and the flattening steel plate are aligned on the conveying body at a regular interval. The curing agent spraying unit ejects curing agent on the area paved by the flattening steel plate.