A method for packaging and a package of climacteric fruit (2) have been developed, wherein one or more unripe fruit (2) are sealed in a bag (3) of suitable material, having a preselected permeability to gas and aqueous vapour, and sealed hermetically; the bag (3) is filled with a modified atmosphere comprising oxygen in a quantity ranging from 2% to 20% by volume, carbon dioxide in a quantity ranging from 0% to 20% by volume, ethylene in a quantity ranging from 0% to 3% by volume, the remainder being nitrogen.