A drug-releasable medical device contains a controlled drug-release composition comprising 100 parts by weight of an organic polymeric material which is soluble in an organic solvent and insoluble in water, 5 to 60 parts by weight of a lipid-soluble, low molecular weight release auxiliary agent and 1 to 70 parts by weight of a drug. When the composition is applied on a stent, a catheter, an organ replacement medical device, an artificial organ or the like in the form of coating or the like, the medical device is provided with a drug release function. Argatroban or sarpogrelate hydrochloride or both of them are gradually released from the surface of a stent for treating coronary artery stenosis, for example. In order to exhibit a sustained-release function for a desired period of time, the drug to be gradually released is carried in a polymeric material coated on a surface of a metal forming the stent or in a porous stent substrate.