Permeable polymer concrete can be applied to roads, sidewalks, river embankment, drain pipes, conduits, retaining walls, yards, parking lots, plazas, interlocking blocks, etc. This study is to explore a possibility of utilizing industrial by-products, a blast furnace slag and a fly ash, as fillers for permeable polymer concrete. Different mixing proportions are tried to find an optimum mixing proportion of permeable polymer concrete. The tests are carried out at 20$pm$1$^{circ}C$ and 60$pm$2$^{circ}C$ relative humidity. At 7 days of curing, compressive, flexural and splitting tensile strengths and water permeability ranged between 239~285kgf/$ extrm{cm}^2$, 107~133kgf/$ extrm{cm}^2$, 37~46kgf/$ extrm{cm}^2$ and 4.612~5.913$ell$/$ extrm{cm}^2$/h, respectively. It is concluded that the blast furnace slag and fly ash can be used in permeable polymer concrete.