The present invention, at least in part, relates to the discovery of efficacious delivery of an RNAi agent (in preferred aspects of the invention, an siRNA) to a transplantable tissue. Organ rejection, transplantation-mediated transmission of viral infection, and triggering of apoptosis in transplanted tissues can each be minimized by the methods and compositions of the instant invention. The RNAi agent(s) of the instant invention can be delivered as “naked” molecules, or using liposomal and other modes of delivery, to transplantable tissues. Such delivery can occur via perfusion of the RNAi agent in solution through the vasculature of a whole or partial organ; or tissues including transplantable cells and cell lines may be bathed, injected or otherwise treated with RNAi agents. Preferred transplantable tissues include, for example, pancreas, liver, kidney, heart, lung, and all cells and cell lines derived from such tissues (e.g., pancreatic islet cells that may, e.g., be transplanted as a treated population).