A distilling machine able to produce distilled water with mineral substance includes a cover body provided inside with a condensation tube filled therein with ore grains composed of various kinds of ores ground into powder, mixed and compressed into particles. Thus, when unboiled water is poured into a heating device of the distilling machine to be heated to boil and form steam, the steam will flow through the condensation tube to be combined with the mineral substance of the ore grains therein. Simultaneously, external cold air will be sucked by a fan in the cover body to flow into the cover body to lower the temperature of the steam and condense the steam into water drops, and then the water drops containing mineral substance will be collected in a water-reserving bucket.