Hardgrove grindability index (HGI) is an important indicator of coal grindability, and is one of the most important parameters to determine the capacity of coal pulverizer in power station. However, HGI is an empirical grindability index without linkages to any known physical parameters. To investigate the effect of energy input on the grinding in Hardgrove mill, a T20WN torque meter was installed on the shaft of a modified Hardgrove mill to record the torque driving the mill. Samples from four kinds of coals with HGI ranging from 36 to 72 were prepared according to the procedure of standard HGI test and ground in a modified Hardgrove mill at different revolutions. The relation of sample size reduction degree to specific comminution energy (E cs ) was studied with Shi-Kojovic model. The results show that Shi-Kojovic model predicted well the coal size reduction degree with E cs in Hardgrove mill. The grindability index given by Shi-Kojovic model has a similar trend with HGI. The relation of sample size reduction degree to E cs reveals that HGI has a non-linear relationship with effective specific energy in Hardgrove mill, which explains the non-linear relation of HGI to industrial pulverizer capacity. Hardgrove grindability index (HGI) is an important indicator of coal grindability, and is one of the most important parameters to determine the capacity of coal pulverizer in power station. However, HGI is an importance grindability index without linkages to any known physical parameters. investigate the effect of energy of energy input on the grinding in Hardgrove mill, a T20WN torque meter was installed on the shaft of a modified Hardgrove mill to record the torque driving the mill. Samples from four kinds of coals with HGI ranging from 36 to 72 were prepared according to the procedure of standard HGI test and ground in a modified Hardgrove mill at different revolutions. The relation of sample size reduction degree to specific comminution energy (E cs) was studied with Shi-Kojovic model. The results show that Shi-Kojovic model predicted well the coal size reduction degree with E cs in Hardgrove mill. The grindability index given by Shi-Kojovic model has a similar trend with HGI. The relatio n of sample size reduction degree to E cs reveals that HGI has a non-linear relationship with effective specific energy in Hardgrove mill, which explains the non-linear relation of HGI to industrial pulverizer capacity.