The present invention relates to a paving method of forming an intermediate layer, where a non-solidifying rubberized asphalt penetrates, on an asphalt mixture for base layer or a cement concrete to provide a permeable layer and an impermeable (intermediate) layer simultaneously with a single paving process for surface layer. The waterproofing and draining functions of the non-solidifying rubberized asphalt layer completely block water or moisture from penetrating into the underlying layer and protect the roads from damage due to freezing temperature with the moisture penetrating into the group in winter. The non-solidifying rubberized asphalt layer constituting the intermediate layer has the non-solidifying rubberized asphalt melt down and move upwards under the paving temperature and pressure applied during the paving process of forming a surface layer and firmly bind with the base layer, thereby completing an integrated pavement structure with enhanced water resistance and durability.