A fishing tool sinking rope and modular snap fastener. A module stringing core strings a plurality of sinking elements at equal intervals. Each sinking element has a main body with two ends connected to a neck portion and terminal portion. The neck portion has a radial cross-sectional size less than that of the main body and terminal portion. A covering woven rope is interlaced to cover the module stringing core. The modular snap fastener has a bendable line and plurality of droplet-shaped hollow snap fastening members connected to two ends of the bendable line. Each hollow snap fastening member has a U-shaped gap snap fastening slot configured to fit the neck portion. The sinking element and modular snap fastener can be quickly assembled to form a string of the module stringing core serving as a center line of circular knitting machine to produce the fishing tool sinking rope.