Packaging of fruits in containers. The containers preferably have designed permeabilities to oxygen, carbon dioxide, and ethylene and include a gas-permeable membrane comprising (1) a microporous film, and (2) a polymeric coating on the microporous film. The containers enable storage and/or ripening of fruits under controlled conditions. Using the new containers, fruits can be ripened while they are being transported, or in conventional ripening rooms without opening the bags in which they have been transported. In addition, fruits can be preserved in a satisfactory ripened state for longer periods of time. Methods of treating fruits with insecticides, fungicides and mold-inhibiting compounds are also disclosed.