The present invention relates to a hole for the medicine elution apparatus and a polymer carrying medicine releasing structure and the preparing method thereof. The invention includes an apparatus body which is arranged with large numbers of holes, the large number of holes are nano-scale holes with single dimension or double dimensions of a plurality of dimensions, namely n nano-scale holes with equal dimension arrangement or two or more asymmetrical dimension arrangement with the statistical average value including the pore diameter of pore depth, the holes are structure of medicine-carrying groove or pore, and the apparatus body includes or not includes an outermost membrane layer, the mixture of medicine and polymer exists in the hole and the mixture adheres to the surface of the apparatus body; the carrier carrying the medicine is no longer the simple hole or polymer, the holes and a few polymers commonly supports the active medicine and does controlled-releasing to the medicine, facilitates that the medicine has a strong adsorbability and a good controlled-releasing effect, as the content of the polymer is small the invention has the advantages of reducing the risk formed by the long-period thrombus and safer using and better treating effect.