A platinum/carbon nanotube catalyst applicable to heterogeneous asymmetric hydrogenation, which is fabricated by supporting platinum on carbon nanotube carriers, and prepared by the steps of: heating purified carbon nanotubes in nitric acid, filtering and washing the same with water until pH value of the filtrate becomes neutral, drying the carbon nanotubes; immersing the carbon nanotube carriers obtained in an aqueous chloroplatinic acid solution and carrying out ultrasonic treatment at room temperature; immersing the mixture of the carbon nanotubes and the aqueous chloroplatinic acid solution under stirring; drying the material by heating to 110° C. from room temperature and maintaining this temperature; grinding the product to fine powders, reducing the fine powders with an aqueous sodium formate solution under a heating condition, filtering and washing the product with deionized water, and drying the product.