A packaged medical device comprising a medical device; a gas-permeable sterile bag containing the medical device therein; a wrapping member made of oxygen-impermeable material and wherein said medical device-containing bag, previously subjected to radiation-sterilization, is sealed; and a deoxidizing agent contained in the wrapping member together with the medical device-containing bag. The packaged medical device does not give off an odor upon unsealing and is free from decrease in strength of plastic parts thereof.