A medical device having a drug-eluting coating that includes a pharmaceutical compound or, more generally, a therapeutic material housed within pores of a zeolite carrier. The zeolite carrier has an open porous structure with reservoirs for holding the therapeutic material. The therapeutic material loaded zeolites may be suspended or dispersed within a bioerodible polymer matrix to provide controlled delivery of the therapeutic material. Zeolite drug carriers may have enhanced or optimally engineered pore sizes for a particular therapeutic material and release profile. Along with a therapeutic material, reservoirs of a zeolite drug delivery system may include a release agent. The release agent may be used to entrap the therapeutic material until such time as a triggering condition is met that prompts the release agent to activate and thereby release the therapeutic material from the zeolite reservoir.