a method for preparing esters of cyclohexane polycarboxylic acids from esters of benzene polycarboxylic acids makes improvement to hydrogenation of esters of benzene polycarboxylic acids by using a reaction tank having a gas - introducing mixer capable of extracting and exhausting air and stirring to hydrogenate an ester of a benzene polycarboxylic acids into an ester of a cyclohexane polycarboxylic acid in the presence of a hydrogenation catalyst ; resulted in that the method advantageously minimizes the operational pressure for hydrogenating esters of benzene polycarboxylic acids and significantly lowers the reaction temperature for hydrogenation while effectively improving the yield of esters of cyclohexane polycarboxylic acids made from the esters of the benzene polycarboxylic acids .