In during the process of cooling carcasses livestock carcasses was back split half-cut, as well as to minimize the reduction of the yield rate due to evaporation of moisture, eliminating the drip phenomenon at the time of the meat cutting, and to shorten the cooling time, energy saving during the cooling process the aim, in order to improve productivity by reducing the initial cost, a method of cooling by transferring the carcass was back split half-cut livestock carcass into cooling chamber, fixture hanging cooling chamber 1 kept at a low temperature atmosphere the carcass in a state of being hung and cooled while transported along the transport path T which is provided in the cooling chamber 1, the prepared plurality of partition space 2, the lowering of the conveying direction upstream side of the carcass surface temperature of the partition space 2 gradient placed dense intervals carcass conveying path T is a steep section, and spaced sparse in a section where carcass surface temperature reaches the further convergence temperature range becomes gentle the falling slope close to the cooling chamber ambient temperature , to hydrolysis to carcass surface while blowing cold air on the carcass in the interior of the partition space 2.