The invention discloses a reinforced sack grouting stone-breaking pile with a heat transferring tube buried therein and a construction method. The reinforced sack grouting stone-breaking pile with the heat transferring tube buried therein is characterized in that the stone-breaking pile is composed of a geotextile sack, longitudinal main reinforcement, stirrups, the heat transferring tube, a prefabricated pile tip, a grouting pipe, cement paste and gravels; the prefabricated pile tip is fixedly connected with the bottom of the main reinforcement, and the geotextile sack is also embedded in the prefabricated pile tip; the heat transferring tube is bound on a reinforcement cage; the geotextile sack is attached to the outer side of the heat transferring tube in the pile length direction; the grouting pipe is placed in the reinforcement cage composed of the longitudinal main reinforcement and the stirrups deep to the prefabricated pile tip. The construction method comprises the steps that 1, the reinforcement cage where the heat transferring tube is well bound is placed in the geotextile sack, and the bottom end of the reinforcement cage and the bottom end of the geotextile sack are fixedly connected with the prefabricated pile tip; 2, after drilling is conducted, the prefabricated pile tip, the reinforcement cage, the heat transferring tube and the geotextile sack are placed in a borehole together; and 3, the cement paste is injected into the inner side of the geotextile sack, and then the gravels are thrown to the inner side of the bulged geotextile sack. According to the reinforced sack grouting stone-breaking pile provided with the heat transferring tube, construction is convenient and fast, and the effects of economy and environmental protection are achieved.