A functional road structure having functions such as emission of light in various colors, freeze protection in winter by radiating heat, or excellent water permeability for trails, parking lots or sidewalks and a construction method thereof. According to this invention, the functional road construction method includes cleaning the road by removing debris and leveling the road evenly; paving a base plate of mesh on the road where the size of mesh is smaller than that of filling stones; laying pipes on the base plate at a predetermined interval where the pipes is made of transparent material and light-emitting-diodes and a control board therefor are inserted inside the pipes; disposing a panel on the pipe where the panel has a six-sided shape with open top and bottom; and filling the filling stones inside the panel.