Filtration-function-equipped cooling water equipment that includes: filtration equipment connected to water-purifying, oxygen-supply-capable cooling water equipment, wherein the filtration equipment includes a filtration space for a filter, wherein the water-purifying, oxygen-supply-capable cooling water equipment comprises a cooling oxidation unit disposed inside of a tank body and comprising a honeycombed or latticed porous material, wherein the filtration-function-equipped cooling water equipment operates to enlarge a contact area between water and air when untreated water drips onto the cooling oxidation unit and flows through the cooling oxidation unit while forced air flows in a counter current against the flow of water in the cooling oxidation unit, thereby facilitating solubility of oxygen in the untreated water and augmenting a cooling capability due to evaporation provided by the water-purifying, oxygen-supply-capable cooling water equipment.