The invention discloses a production method and system of heat-shrinkable branch finger sleeves. The production method comprises the following steps that pipe extruding is conducted, specifically, a sleeve pipe is extruded by adopting an extruder; pipe pressing is conducted, specifically, when the sleeve pipe is in a molten state after being extruded, a plurality of parallel pressing wheels are adopted to extrude the sleeve discontinuously in the length direction of the sleeve pipe and connecting intervals are formed at the extruding position, and the multiple connecting intervals make extruding sections of the sleeve pipe be divided into a plurality of finger sleeve pipes; irradiating is conducted, specifically, irradiating is conducted on the sleeve pipe after being extruded; expanding is conducted, specifically, expanding is conducted on the sleeve pipe after being irradiated; and cutting is conducted, specifically, the sleeve pipe after being expanded is cut in sequence from the front ends or the rear ends of the extruding sections to form the multiple branch finger sleeves. In addition, cutting is also conducted firstly, and expanding is conducted. According to the productionmethod and production system of the heat-shrinkable branch finger sleeves, the heat-shrinkable branch finger sleeves are prepared through extruding, pipe pressing, irradiating, expanding and cutting continuous production or through extruding, pipe pressing, irradiating, cutting and expanding continuous production; and compared with the prior art by adopting an injection molding mode to produce thebranch finger sleeves, the method is simple, the consumed time is short, and the production cost is low.