Described herein are hydrogen sulfide (H2S) generating polymers and polymer systems suitable for coating or forming medical devices and methods for making and using the same. More specifically, described are H2S generating polymers comprising at least one thioamide group. The H2S generating polymers can provide controlled site-specific release of H2S once implanted at or within the target surgical site by hydrolysis of the thioamide group in physiological media. The H2S generating polymers can be coated onto a medical device, formed into a medical device or combined with one or more other polymers to form a polymer system. Also described are methods of treating restenosis and inflammation and promoting vasodilation utilizing such medical devices.