Disclosed is a method for making a woven or knitted fabric with an excellent water transition ability, involving the steps of fabricating a woven or knitted fabric having a double weave structure by use of a polyethyleneterephthalate (PET) filament for one surface of said fabric and a divided PET/nylon-conjugated fiber for the other surface of said fabric, and subjecting said fabric to a weight loss finishing process. Since the fabric has a void size difference between the surfaces thereof in accordance with the weight loss finishing process, it can externally discharge, at a high velocity, moisture absorbed therein.