It is essential to have some method of preservation of allograft valves during the time between procurement and implantation. Cryopreservation is the most commonly-used storage method today but it has the major disadvantage of high cost, and because its aim is to preserve living cells only relatively gentle antimicrobial treatments are used. This study addresses two interrelated questions: Is it necessary to maintain living donor cells in the tissue graft?Can more effective measures be used to reduce the risk of transmission of diseases, especially viral diseases, via human tissue grafts. In this paper, were port an investigation of four preservation methods that could be combined with more effective disinfection: cryopreservation with dimethyl sulphoxide, storage at ∼4 °C in a high concentration of glycerol as used for the preservation of skin, snap-freezing by immersion in liquid nitrogen and vitrification. Snap freezing was mechanically damaging and vitrification proved to be impracticable but two methods, cryopreservation and storage in 85%glycerol, were judged worthy of further study. Cryopreservation was shown to maintain cellular viability and excellent microscopic structure with unchangedmechanical properties. The glycerol-preserved valves did not contain any living cells but the connective tissue matrix and mechanical properties were well preserved. The importance of living cells in allograft valves is uncertain. If living cells are unimportant then either method could be combined with more effective disinfection methods: in that case the simplicity and economy of the glycerol method would be advantageous. These questions are addressed in the two later papers in this series.